# How Do You Tell If A Number Is Divisible By 8

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### Playing with Numbers HAPTER

For example If we take 81, 8 + 1 = 9 similarly 99, 9 + 9 = 18 divisible by 9. A number is divisible by 9, if the sum of the digits of the number is divisible by 9. DO T HIS 1. Test whether 9846 is divisible by 9? 2. Without actual division, find whether 8998794 is divisible by 9? 3. Check whether 786 is divisible by both 3 and 9? 3.2

### 5-1 NUMBER THEORY: DIVISIBILITY; PRIME & COMPOSITE NUMBERS 210 f8

Eg. 5 is a prime number, divisible by 1 and by 5, and no other elements of N. 6 is composite, since it is divisible by 2 and 3, in addition to 1 and 6. 1 is neither prime nor composite! ( 1 is called a UNIT. ) Prime or composite? 123 is (You can probably tell right away, because 123 is clearly divisible by

### Divisibility Rules - 7

One number is divisible by another, even if you get a remainder when you do the division operation. B If a large number of apples is divisible by 6, you can put all the apples into 6 even piles, and have no apples left over. C A divisibility rule is a very long way of determining whether a given number is divisible by a fixed divisor without

### Playing with Numbers

In these numbers the unit s digit ends with 0,2,4,6, 8 If the unit s digitof the number is 0 or 2 or 4 or 6 or 8 ( even number ) then it is divisible by 2. Otherwise it will not divisible by 2. Let us see the logic behind this rule. If we take a three digit number 100 × a + 10 × b + c where a in hundred s place, b is in ten s

### 1. Numbers & Operations Place Value Gr. 9 N-1, N-2 Cassette

1 Explain how you can tell if a number is divisible by 3? 2 Explain how you can tell if a number is divisible by 6? 3 Make a Venn diagram and place 5 numbers that belong in each space. divisible by 2 divisible by 3 divisible by ??? 4 Explain how you can tell if a number is divisible by 9? 5 a) Write ten 3 to 4 digit numbers at random.

### Fractions and Estimation

to the nearest whole number, 4. ≈ 280 ÷ 4 280 is close to 275 and is divisible by 4. = 70 Divide. So, the range of a female Florida panther is about 70 square miles. 6. There are about 100 Florida panthers in South Florida. A scientist wants 3 8 of the panthers ﬁ tted with tracking collars. Estimate the number of panthers to be ﬁ

### EAP, 1/2011 LSC-O Definition: A fraction is a numerical

A quick way: (WHOLE NUMBER X DENOMINATOR + NUMERATOR)/DENOMINATOR: To go from improper fraction to mixed number, simply divide the Numerator by the Denominator. The Remainder over the Divisor is the fractional portion. Comparing fractions Obviously 5/8 > 3/8, but what about 5/8 and 7/12? Here s how to tell:

### It? 2. What can you conclude from the given information? What

Aug 26, 2014 a. If a whole number ends in 0, then it is divisible by 10. If a whole number is divisible by 10, then it is divisible by 5. b. If ÃÑ and AD are opposite rays, then the two rays form a straight angle. If two rays are opposite rays, then the two rays form a straight angle. Given: If you do gymnastics, then you are flexible.

### A Prime Investigation with 7, 11, and 13

11. A number is divisible by 2 if it is even or if the ones digit is 0, 2, 4, 6, or 8. A number is divisible by 3 if the sum of the digits are divisible by 3. A number is divisible by 5 if the ones digit is a 0 or a 5. 12. In A B C, A B C, take the sum of every other digit and then subtract. If the difference is divisible by 11 then the

### Chapter 3 Number Theory - Mangham Math

A number is divisible by 2 if the ones digit is even. 3 A number is divisible by 3 if the sum of its digits is divisible by 3. 4 A number is divisible by 4 if its last two digits are divisible by 4. 5 A number is divisible by 5 if it ends in 0 or 5. 6 A number is divisible by 6 if it is divisible by both 2 and 3. 9

### Divisibility Rules

Do You Know HOW? In 1 through 4, tell if each number is divisible by 2, by 5, or by 10. 1. 672,543 2. 164,845 3. 367,650 4. 543,452 In 5 and 6, tell if each number is divisible by 3 or by 9 and give the reason you know. 5. 498,373 6. 1,389,564 In 7 and 8, tell if each number is divisible by 6 and give the reason you know. 7. 498,375 8. 1,389,570

6 The number is divisible by 2 and 3. That is, the number is divisible by 6 if it passes the tests for 2 and 3. 7 Twice the last digit subtracted from the remaining digits is divisible by 7. (Note: Repeat for large numbers) 8 The last 3 digits are divisible by 8 Note: A 3 digit number abc is divisible by 8 if: i) a is even and bc is divisible

### LESSON Practice B Divisibility

A number is divisible by another number if the quotient is a whole number with no remainder. 15 is divisible by 3 because 15 ! 3 5.There are rules to help you figure out if a number is divisible by another number. Divisibility Rules A number is divisible by: 2 if the last digit is even. 3 if the sum of the digits is divisible by 3.

### Prime Numbers, Factors, and Division Tricks

4. Is it true that if a number is divisible by 4 and by 6, then it must be divisible by 4 6 = 24? 5. Prove that the product of any three consecutive natural numbers is divisible by 6. 6. How many consecutive numbers do you need to guarantee that their product is divisible by 30? by 120? 7. How many digits are in the product 45 510? (AMC-8 2011) 8.

### Chapters 2.4, 4

(a) A number is divisible by 2/5 if and only if the last digit is divisible by 2/5. (b) A number is divisible by 3/9 if and only if the sum of its digits is divisible by 3/9. (c) A number is divisible by 4/8 if and only if the last 2/3 digits are divisible by 4/8. (d) A number is divisible by 6 if and only if it is divisible by 2 and 3. (e) A

### Unit 1.1 Patterns and Relations Lesson Handout

Students will learn the divisibility rules for 2,4,5,8 and 10. Procedure: Background In math it is necessary to tell if numbers are divisible by other numbers. This is used a lot in fractions and in rational expressions (senior high). You do not have to know what the answer is, simply if the number can be divided evenly. Divisibility Rule for 2:

### Divisibility Rules

Here, 4 is even and 48 is divisible by 8, so 2448 is also divisible by 8. 192: Here, 1 is odd, so you need to sub-tract 4 from the last two digits: 92 4 = 88; 88 is divisible by 8, so 192 is as well. Dividing by 9: Add the digits. If they are divisible by 9, then the number is as well. For example: 52866 is divisible by 9 because 5 + 2

### LESSON Practice A Divisibility

they each get the same number of cards? How do you know? Yes; because 24 is divisible by 3 20. Five friends decide to order a pizza. If the pizza is cut into 8 slices, will they each be able to get the same number of slices without any pizza left over? How do you know? No; because 8 is not divisible by 5 prime composite composite composite

7.Is your number divisible by 8? If the number formed by the last three digits are divisible by 8, yes. If the number is odd, it will not be divisible by 8. Example: Is 52,016 divisible by 8? 8.Is your number divisible by 9? Add up all the digits in the number, if the sum is divisible by 9, yes. Example: Is 7222 divisible by 9?

### 2.2.1 Factors and Primes - OpenTextBookStore

Divisibility tests are rules that let you quickly tell if one number is divisible by another. There are many divisibility tests. Here are some of the most useful and easy to remember: A number is divisible by 2 if the last (ones) digit is divisible by 2. That is, the last digit is 0, 2, 4, 6, or 8. (We then say the number is an even number

### How To Validate Canada SIN (Numbers)

(Multiply the top number by the bottom number) 130 692 544 121 212 121 160 394 584 If you get a 2 digit # add the digits together. Notice here that 6*2=12, add 1 and 2 together and get 3. Then add all of these digits together: 1+6+0+3+9+4+5+8+4=40 If the SIN is valid this # will be evenly divisible by 10. This is a 'valid' SIN.

### Lesson 5.2 Name Factors and Divisibility Operations and

Divisibility Rules A number is divisible by another number if the quotient is a counting number and the remainder is 0. Some numbers have a divisibility rule. You can use a divisibility rule to tell whether one number is a factor of another. Try This! List all the factor pairs for 72 in the table. How did you check if 7 is a factor of 72

### Using My Prime Number Chart

3. If a number is a multiple of 7, it will be divisible by 4. Is 126 divisible by 7? How can you tell by looking at your prime number chart? 5. If a number is a multiple of 13, it will be divisible by 6. Is 182 divisible by 13? How can you tell by looking at your prime number chart?

### SECTION 1 - Wiley

2. Michelle also found that a number is divisible by 8 if the number formed by the last three digits is divisible by 8. Which of the following numbers are divisible by 8? A. 5,432 B. 2,102 C. 3,144 3. Fill in the missing digit in the following numbers so that each number is divisible by 4. There may be more than one answer. A. 6 2

### UNIT THE DIVISIBILITY OF WHOLE 2

A number is divisible by 8 if its last three digits (unit s, tens and hundreds) are zero, or are divisible by 8. Observe that 256 Divisibility by 9 A number is divisible by 9 if the sum of its digits is divisible by 9. Divisibility by 10 A number is divisible by 10 if the units digit is 0. Is the number 36,496 divisible by 8? Check

### Session 5 Divisibility Tests and Factors

Session 5 - 98 - Number and Operations Divisibility Tests for 2, 5, and 10 As you ve seen, it is easy to tell if a counting number is divisible by 2, 5, or 10 just look at the units digit:

### Number Theory and Fractions - Weebly

1. Tell which whole numbers are divisible by 1. 2. Explain how you know that 87 is a composite number. 3. Tell how the divisibility rules help you identify composite numbers. EXAMPLE 2 Tell whether 387 is divisible by 6, 9, and 10. So 387 is divisible by 9. Any number greater than 1 is divisible by at least two numbers 1 and the number itself.

### 2. Divisibility Rules

If the last three digits are evenly divisible by 8, then the entire number is divisible by eight. Yes, this rule requires division. Example 7016 6473If you divide 016 by 8 you get a quotient of 2 with no remainder so 7, 016 is evenly divisible by 8. If you divide 473 by 8 you get a quotient of 59

### What You ll Learn Why It s Important

All multiples of 1000 are divisible by 8. So, for any whole number with 4 or more digits, we only need to check the last 3 digits to find out if the number is divisible by 8. A number that is divisible by 8 is also divisible by 2 and by 4 because 8 2 4. So, a number divisible by 8 is even. You can use patterns to find divisibility rules

### DIVISIBILITY AND THE NUMBER 2 Name

Write a seven-digit number that is not divisible by 6, and explain why it is not. I Considering what your team has learned about the divisibility for the number 6, do you think this same idea works; for all numbers? For example, if a number is divisible by 2 and 4, is it divisible by 8? Can your team find a number

### MATH 112 Section 4.1: Divisibility

6, and 8. What happens as we continue on? Example The ﬁrst ten even numbers are 0, 2, 4, 6, 8, 10, 12, 14, 16, and 18. Do you notice a pattern here? Divisibility Test for Two A number is divisible by two if the last digit is divisible by two. That is, if it ends in a 0, 2, 4, 6, or 8. Why Does This Work?

### Divisibility Rules

divisible by 6. 8. 1,389,570 is an even number so it is divisible by 2. The sum of the digits is 33 and 33 is divisible by 3. Since 1,389,570 is divisible by both 2 and 3, it is also divisible by 6. 9. One number is divisible by another number if there is no remainder after dividing. 10. No. If a number is divisible by 10, it has a 0 in the

### Divisibility

Yes, because the last two digits are 00 so automatically the number is divisible by 4. Divisibility test for 5 This is probably the easiest of all divisibility tests. Simply look at the last digit on the number. If you find a 0 or 5 in the ones place, then the number is divisible by 5. Can you easily see that these numbers: 25, 24,510

### Divisibility Rules!

What pattern do you notice about each number? (Hint: Look at the number formed by the last two digits in each number.) Each number is an even number, or each number is divisible by 2. The last two digits of each number also form a number that is divisible by 4. 2. Write a rule to tell when a number is divisible by 4. A number is divisible by

### Factors and Divisibility

1, 2, 4, 8, 16, and 32. Divisibility Rules Divisible by Rule 2 The number is even. 3 The sum of the digits is divisible by 3. 4 The number formed by the tens and ones digits is divisible by 4. 5 The ones digit is 0 or 5. 6 The number is divisible by 2 and 3. 9 The sum of the digits is divisible by 9. 10 The ones digit is 0. Try: Is it a factor

### Unit1 Number Theory

4 The last two digits are divisible by 4 (eg 932: 3 2 is divisible by 4) 5 The number ends in 5 or 0 6 The number is divisible by 2 and 3 8 The last three digits are divisible by 8 (eg 5256: 256 is div by 8) 9 The sum of its digits is divisible by 9 (eg 738: 7 + 3 + 8 = 18) 10 The number ends in 0 1. Using the divisibility rules, tell whether

### Divisibility

How can we tell if a number is divisible by 8? A number is divisible by 8 if the last three digits are a multiple of 8 or 000. [In this case it would be helpful to use division. Just take the last three digits and divide by 8] 237,656 is divisible by 8 because with no remainder.

### Intro to Number Theory: Why your calculator and Homer Simpson

An integer is divisible by 2n if and only if its last n digits, used to create a new n digit number, result in a number that is divisible by 2n. For example, 123456 is divisible by 8 because 456 is. Problems Is 1,234,567,890 divisible by 2? Is 12113 −1014 divisible by 2? Prove that 1782 12+1841 6= 1922 12. Do you know why your

### Divisibility Rules Worksheet

128 is divisible by four because half of it is 64 and 64 is still divisible by two Five (5) A number is divisible by five if it ends in a five or a zero. 435 is divisible by five because it ends in a five Six (6) A number is divisible by six if it is divisible by both two and three. 222 is divisible by six because it is even, so it