Factors, Multiples & Divisibility Quiz

1. What are the factors of 12?

1. 1, 2, 3, 4, 6, 12
2. 1, 2, 4, 6, 12
3. 1, 3, 4, 6, 12
4. 2, 3, 4, 6

2. Which of these numbers is a multiple of 7?

1. 42
2. 44
3. 46
4. 48

3. The divisibility rule for 2 is: a number is divisible by 2 if it is ___.

1. An even number (ends in 0, 2, 4, 6, or 8)
2. An odd number
3. Divisible by 4
4. Its digits add up to an even number

4. Is 135 divisible by 5? How can you tell without dividing?

1. No, because 135 is odd
2. No, because it does not end in 0
3. Yes, because it ends in 5
4. Yes, because its digits sum to 9

5. What is the divisibility rule for 3?

1. The last two digits must be divisible by 3
2. The number must be odd
3. The number must end in 3 or 6
4. The sum of the digits must be divisible by 3

6. How many factors does 16 have?

1. 3
2. 4
3. 5
4. 6

7. Is 372 divisible by 9?

1. Cannot tell without dividing
2. No
3. Only if divided by 3 first
4. Yes

8. What is the smallest number divisible by both 4 and 6?

1. 10
2. 12
3. 24
4. 8

9. What is a factor pair?

1. Two consecutive factors
2. Two equal factors
3. Two factors of a number that multiply together to make that number
4. Two prime factors

10. Which of these numbers is divisible by both 2 and 3?

1. 21
2. 34
3. 42
4. 55

11. Is 1,000 divisible by 8? Use the divisibility rule for 8.

1. No
2. Only by long division
3. Only if it is also divisible by 4
4. Yes

12. What are the common factors of 18 and 24?

1. 1, 2, 3, 4, 6
2. 1, 2, 3, 6
3. 1, 3, 6, 9
4. 2, 3, 6

13. The divisibility rule for 10 is: a number is divisible by 10 if ___.

1. Both B and C (they are equivalent rules)
2. It ends in 0
3. It is divisible by 2 and 5
4. Its digit sum is 10

14. Which of these is a multiple of both 3 and 4?

1. 18
2. 20
3. 24
4. 26

15. How many multiples of 6 are there between 1 and 50?

1. 6
2. 7
3. 8
4. 9

16. Is 4,321 divisible by 4?

1. Cannot tell without dividing
2. No — the last two digits (21) are not divisible by 4
3. Yes — it ends in 1
4. Yes — its digit sum is divisible by 4

17. A factor of a number is always less than or equal to the number itself. What is the only number that is a factor of every positive whole number?

1. 0
2. 1
3. 10
4. 2

18. What is special about a number that has exactly two factors?

1. It is a multiple of 10
2. It is a prime number
3. It is a square number
4. It is an even number

19. What is the divisibility rule for 6?

1. The digit sum must be 6 or a multiple of 6
2. The last two digits must form a number divisible by 6
3. The number must be divisible by both 2 and 3
4. The number must end in 6

20. Chairs need to be arranged in equal rows. There are 48 chairs. Which of these is NOT a possible number of rows?

1. 12 rows of 4
2. 6 rows of 8
3. 7 rows of 7
4. 8 rows of 6