Factors and Multiples

Which of the following lists contains five multiples of the number 7, some less than 100 and some greater than 100?

Which of the following lists contains five multiples of the number 12, some less than 100 and some greater than 100?

• 12, 24, 36, 48, 60

• 24, 48, 72, 96, 120

• 36, 72, 108, 144, 180

• 48, 96, 144, 192, 240

Which of the following lists contains five multiples of the number 15, with some less than 100 and some greater than 100?

• 15, 30, 45, 60, 75

• 90, 105, 120, 135, 150

• 15, 45, 75, 105, 135

• 30, 60, 90, 120, 150

What are the factors of the number 40?

• 1, 2, 4, 5, 8, 10, 20, 40

• 1, 2, 3, 4, 5, 10, 20, 40

• 1, 2, 4, 5, 10, 20, 40

• 1, 2, 4, 5, 8, 10, 20

Which of the following lists all the factors of the number 72?

• 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

• 1, 2, 4, 8, 16, 32, 64

• 1, 3, 5, 7, 9, 11, 13, 15

• 1, 2, 3, 5, 10, 20, 25, 50

What are the factors of the number 90?

• 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

• 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

• 1, 2, 3, 5, 7, 9, 11, 13, 17, 19, 23, 29

• 1, 2, 3, 5, 8, 10, 12, 16, 20, 24, 28, 32

What is the prime factorization of the number 585?

• 3 × 5 × 39

• 3 × 5 × 13 × 3

• 5 × 7 × 17

• 3 × 5 × 13

What is the prime factorization of the number 330?

• 2 × 3 × 5 × 11

• 2 × 3 × 5 × 13

• 3 × 5 × 11 × 13

• 2 × 5 × 7 × 11

What are two common factors other than 1 for the numbers 75 and 135?

• 3 and 5

• 5 and 15

• 15 and 25

• 25 and 35

Name two common factors other than 1 for each pair of numbers. b) 2^2 × 3^2 × 5 and 2 × 3^4 × 7

• 2 and 3

• 3 and 5

• 2 and 7

• 5 and 7