Carefully read the questions on math practice test on factors to understand what we need to find in the required question. The questions on factors are mainly based on how to find the missing factor, by using the tree method find the factors, factor the numbers with the help of division, finding the common factor and problems on factors.

**1. Find each missing factor:**

(a) ___ × 8 = 24

(b) 5 × ___ = 30

(c) ___ × 9= 45

(d) 8 × ___ = 0

(e) ___ × 8 = 64

(f) 4 × ___ = 32

(g) ___ × 8 = 4 × 6

(h) 4 × 9 = ___ × 6

**2. Draw a factor tree for each of the following numbers and find the factors:**

(a) 12

(b) 24

(c) 16

(d) 20

**3. List all factor of the following numbers with the help of division: **

(a) 48

(b) 64

(c) 72

(d) 42

**4. Check if the following numbers are factors of the numbers given. Write Yes or No. **

(a) 7 of 28

(b) 9 of 54

(c) 6 of 15

(d) 8 of 42

(e) 4 of 52

(f) 12 of 60

(g) 9 of 100

(h) 13 of 72

**5. Find the common factors of: **

(a) 10, 15

(b) 8, 12

(c) 9, 12

(d) 15, 20

(e) 28, 56

(f) 20, 30

(g) 16, 24, 32

(h) 15, 30, 45

**6. Write the factors of each number and the common factors of: **

(a) 12; 24

(b) 16; 48

(c) 20; 40; 60

**7. Answer the following questions: **

(a) Why is every number a factor of itself?

(b) Do you think a number that has 8 as a factor will have 4 as a factor?

(c) Do you think a number that has 3 as a factor will have 6 as a factor?

(d) To find the factors of a number, do you use multiplication or division?

(e) Which factor is common to all numbers?

Answers for the practice test on factors will help the students to check the exact answers of the above questions on factors.

1. (a) 3

(b) 6

(c) 5

(d) 0

(e) 9

(f) 8

(g) 3

(h) 6

2. (a) 12

1, 2, 3, 4, 6, 12

(b) 24

1, 2, 3, 4, 6, 8, 12, 24

(c) 16

1, 2, 4, 8, 16

(d) 20

1, 2, 4, 5, 10, 20

3. (a) Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24

(b) Factors of 64: 1, 2, 8, 32, 64

(c) Factors of 72: 1, 2, 3, 4, 6, 12, 18, 24, 36, 72

(d) Factors of 42: 1, 2, 3, 6, 7, 14, 21, 42

4. (a) Yes

(b) Yes

(c) No

(d) No

(e) Yes

(f) Yes

(g) No

(h) No

5. (a) 5

(b) 2, 4

(c) 3

(d) 5

(e) 2

(f) 2, 5, 10

(g) 2, 4, 8

(h) 3, 5

6. (a) factors of 12: 2, 3, 4, 6, 12

factors of 24: 2, 3, 4, 6, 8, 12, 24

common factors of 12 and 24 are 2, 3, 4, 6, 12

(b) factors of 16: 2, 4, 8, 16

factors of 48: 2, 3, 4, 6, 8, 14, 16, 24, 48

common factors of 16 and 48 are 2, 3, 4, 6, 8

(c) factors of 20: 2, 4, 5, 10, 20

factors of 40: 2, 4, 5, 8, 10, 20, 40

factors of 60: 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
common factors of 20, 40 and 60 are 2, 4, 5, 10, 20

7. (a) We know every number is divisible by itself.

(b) yes

(c) yes

(d) division

(e) 1

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