Write True or False. Give counter example.True 1. All even numbers are divisible by 4.

False 2. Only add numbers are divisible by 3.

True 3. If a number is divisible by 10, then it is also divisible by 5.

False 4. If a number is divisible by 5, then it is also divisible by 10.

True 5. If a number is divisible by 9, then it is also divisible by 3.

False 6. If a number is divisible by 3, then it is also divisible by 9.

True 7. If a number is divisible by 10, then it is divisible by 2.

False 8. If number is divisible by 2, then it is divisible by 10.

False 9. If a number is divisible by both 2 and 5, then it is also divisible by 10.

False 10. All even numbers divisible by 3 are divisible by 6.

List all the factors of the following:1. 12 = 1,2,3,4,6,122. 54 = 1,2,3,,6,9,18,27,543. 35 = 1,5,7,354. 75 = 1,3,5,15,25,755. 31 = 1,356. 36 = 1,3,4,6,9,12,367. 41 = 1,418. 19 = 1,199. 100 = 1,2,4,5,10,25,20,50,10010. 71 = 1,7111. 53 = 1,5312. 125 = 1,5,25,125

Check whether or not numbers are relatively prime for each pair. 1. 3 and 4 2. 7 and 9 3. 6 and 8 4. 4 and 6 5. 10 and 11

Find the GCF1. 26 and 24 2. 21 and 63 3. 20 and 15 4. 15 and 21 5. 8 and 12 GCF: 1 GCF: 21 GCF: 5 GCF: 3 GCF: 46. 6 and 12 7. 6 and 8 8. 8 and 20 9. 10 and 25 10. 24 and 32 GCF: 6 GCF: 2 GCF: 4 GCF: 5 GCF: 8 Complete the factor trees:

48 6 x 8

2 x 3 x 2 x 4

2 x 3 x 2 x 2 x 2

40 8 x 5

2 x 4

2 x 2

90 3 x 30

3 x 10

2 x 5

Draw factor trees for these numbers:36

6 x 6

2 x 3 x 2 x 3

40 4 x 10

2 x 2 x 2 x 5

84 2 x 42

2 x 21

3 x 7

For each number , Write P if it is prime . If the number is composite , list all its factors.1. 15= 1,3,5,15 2. 81= 1,9,81 3. 57= P4. 61= P 5. 29=P 6. 63= 1,3,6,7,97. 72= 1,8,9,72 8. 51= P 9. 149=P10. 85= 1,5,85 11. 465= 1, 3,5,55,93,46512. 1980= 1,2,3,4,5,6,9,11,12,15,18,20,22,30,66,90,99,110,132,165,180,198,220,330,396,495,660,1980

Multiple Choice:1. The prime factors of 16 are:

a. 2×8 b. 2×2×2×2 c. 4×4 d. 1×16

2. Which of the following shows that the first is not a factor of those of the second number?a. 4 , 12 b. 6 , 64 c. 3 , 23 d. 11 , 66

3. Which is the GCF of 26 and 12a. 12 b. 2 c. 4 d. 3

4. Which of the following is not a prime number?a. 2 b. 3 c. 21 d. 911

5. Which is a prime factorization?a. 2×2×9 b. 2×3×6 c. 2×3×4 d. 3×3×5

6. Which is the smallest odd number?a. 0 b. 1 c. 2 d. 3

7. Which is the complete set of factors of 28?a. 1,2,4,7,14,28 b. 2,4,7,14,28 c. 1,2,4,7,14 d. 1,2,3,4,7,28

8. What is the smallest number that is a product of 2 different prime factor?a. 2 b. 1 c. 6 d. 4

True or False.False1. The factor of a number can be greater than itself.True 2. The GCF of 36 and 42 is 6.True 3. 17, 13, and 23 have no GCF.False 4. All prime numbers are odd.True 5. 5 is a factor of 10.True 6. 1 is a factor of all numbers.False 7. Nine different rectangles can be formed using all 36 congruent squares.True 8. 51 is a prime number.True 9. 2 is only even prime number.False 10. 2×9 is the prime factorization of 18.False 11. 1 is the smallest odd prime number.

Complete the following:1. Multiples of 4: 8,12,16,…. 2. Multiples of 9: 18,27,36,… Multiples of 6: 12,18,24, … Multiples of 3: 6,912,… The LCM of 4 and 6 is 12 The LCM of 9 and 3 is 9

Find the LCM for each pair of numbers.1. 4 and 7 LCM:28 2. 4 and 14 LCM:28 3. 13 and 26 LCM:264. 25 and 20 LCM:100 5. 14 and 21 LCM:42 6. 6 and 18 LCM:187. 3 and 6 LCM: 6 8. 8 and 6 LCM: 24 9. 9 and 6 LCM: 1810. 24 and 30 LCM: 124 11. 30,42,63 LCM: 630 12. 15,20,25 LCM:750013. 16,24,36 LCM:144 14. 10,12,20 LCM: 240015. Write the multiples of 8 between 30 and 70,30 32,40,48,56,64,7016. Write the next 5 multiple of 9 after 81.90,99,108,117,126.

True or False. Give counter examples.False 1. 32 is a multiple of 9.

36 is a multiple of 9True 2. 48 is a common multiple of 4 and 8.

36 is a common multiple of 9 and 6False 3. The LCM of 7 and 9 is 97.

The LCM of 7 and 9 is 63True 4. Zero is a multiple of all whole numbers.

One is a multiple of all whole numbers.True 5. A multiple can also be called a product.

The answer of multiplicationFalse 6. Any multiple of 8 is also a multiple of 4.

Any multiple of 2 is also a multiple of 4Multiple Choice:1. The fraction shown by the shaded part of the set above is.

a. b. c. d.

2.The fraction shown by the shaded region above is.

a. b. c. d.