**Factors and Multiples worksheet :**

On the webpage, "Factors and multiples worksheet" we are going to see some practice question.

(1) Write the factors of 6

(2) Write the factors of 15

(3) Write the factors of 18

(4) List the first 5 multiple of 8

(5) Check whether 3 is the factor of 21

(6) Find the number of factors of 48

(7) Find the number of factors of 30

(8) List the next three multiple of 12

12, 24, 36, ___, ___, ____

(9) List the next three multiple of 7

7, 14, 21, ___, ___, ____

(10) Write the factors of 7

**Question 1 :**

Find the factors of 6

**Solution :**

1 x 6 = 6

2 x 3 = 6

Hence, factors of 6 are 1, 2, 3 and 6.

**Question 2 :**

Write the factors of 15

**Solution :**

15 = 1 x 15

15 = 5 x 3

Hence, factors of 15 are 1, 3,5 and 15.

**Question 3 :**

Write the factors of 18

**Solution :**

18 = 1 x 18

18 = 2 x 9

18 = 3 x 6

Hence, factors of 18 are 1, 2, 3, 6, 9 and 18.

**Question 4 :**

List the first 5 multiple of 8

**Solution :**

To get the first 5 multiple of 8, we need to multiply 8 by 1, 2, 3, 4 and 5 respectively.

1 x 8 = 8

2 x 8 = 16

3 x 8 = 24

4 x 8 = 32

5 x 8 = 40

Hence, first 5 multiple of 8 are 8, 16, 24, 32 and 40.

**Question 5 :**

Check whether 3 is the factor of 21

**Solution :**

To check whether 3 is the factor 21, first we have to divide 21 by 3. If the remainder becomes zero, then we can decide 3 is the factor 21. Because a factor always divides the product without a remainder.

Hence, 3 is the factor of 21.

**Question 6 :**

Find the number of factors of 48

**Solution :**

To get the number of factors of 48, first we have to find the factors.

48 = 1 x 48

48 = 2 x 24

48 = 3 x 16

48 = 4 x 12

48 = 6 x 8

Factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48.

Number of factors of 48 = 10

**Question 7 :**

Find the number of factors of 30

**Solution :**

To get the number of factors of 30, first we have to find the factors.

30 = 1 x 30

30 = 2 x 15

30 = 3 x 10

30 = 5 x 6

Factors of 30 are 1, 2, 3, 5, 6, 10, 15 and 30.

Number of factors of 30 = 8.

**Question 8 :**

List the next three multiple of 12

12, 24, 36, ___, ___, ____

**Solution :**

In the given question we have first three three multiples of 12, to get the next three consecutive multiples, we have to multiply 12 by 4, 5 and 6 respectively.

4th term = 12 x 4 => 48

5th term = 12 x 5 => 60

6th term = 12 x 6 => 72

Hence, the next three terms are 48, 60 and 72.

**Question 9 :**

List the next three multiple of 7

7, 14, 21, ___, ___, ____

**Solution :**

In the given question we have first three three multiples of 7, to get the next three consecutive multiples, we have to multiply 7 by 4, 5 and 6 respectively.

4th term = 7 x 4 => 28

5th term = 7 x 5 => 35

6th term = 7 x 6 => 42

Hence, the next three terms are 28, 35 and 42.

**Question 10 :**

Write the factors of 7

**Solution :**

Since 7 is a prime number, it has only two factors 1 and the number itself.

Hence, factors of 7 are 1 and 7.

- Easy way to find the number of factors
- Greatest common factors
- Least common multiple
- Prime factorization method
- Order of operation
- Multiplication facts
- Division facts

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