We know that multiplication is repeated addition and division is repeated subtraction. This means that multiplication and division are an inverse operation.

Let’s understand this with the following example.

Relationship between multiplication and division

We can say that for every multiplication factor of two different numbers we have two division factors. 2 × 2 gives only a division factor of 4 ÷ 2 = 2.

For example:

Write two division facts for each of the following multiplication facts.

Multiplication Facts Math

Since division and multiplication are related, we can check our answer by multiplying the quotient and divisor to get the dividend.

Questions and answers about the relationship between multiplication and division:

I. Write multiplication factors for each division factor.

(i) 56 ÷ 8 = ……… .. means ……… .. × ……… .. = ……….

(ii) 33 ÷ 11 = ……… .. means ……… .. × ……… .. = ……….

(iii) 42 ÷ 6 = ……… .. means ……… .. × ……… .. = ……….

(iv) 28 ÷ 7 = ……… .. means ……… .. × ……… .. = ……….

Reply:

I. (i) 7, 8 × 7 = 56

(ii) 3, 11 × 3 = 33

(iii) 7, 6 × 7 = 42

(iv) 4, 7 × 4 = 28

II. Write two division factors for each multiplication factor.

(i) 7 × 9 = ……… .. means ……… .. ÷ ……… .. = ………. and ……… .. ÷ ……… .. = ……….

(ii) 5 × 4 = ……… .. means ……… .. ÷ ……… .. = ………. and ……… .. ÷ ……… .. = ……….

Reply:

II. (i) 63, 63 ÷ 7 = 9, 63 ÷ 9 = 7

(ii) 20, 20 4 = 59, 20 ÷ 5 = 4

III. Use the following numbers to write multiplication and division facts.

(i) 5, 4, 20 ………. ………. ……….

(ii) 6, 9, 54 ………. ………. ……….

(iii) 7, 4, 28 ………. ………. ……….

(iv) 20, 2, 10 ………. ………. ……….

Reply:

III. (i) 5 × 4 = 20, 20 ÷ 4 = 5, 20 ÷ 5 = 4

(ii) 6 × 9 = 54, 54 ÷ 6 = 9, 54 ÷ 9 = 6

(iii) 7 × 4 = 28, 28 ÷ 7 = 4, 28 ÷ 4 = 7

(iv) 2 × 10 = 20, 20 2 = 10, 20 ÷ 10 = 2

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