Multiples Problem Type 2

Multiplication and division are inverse operations. This means that dividing by a number is same as multiplying by its reciprocal. Because of this inverse relation, we can use division to decide whether or not a number is a multiple of another.

Find if 18 is a multiple of 5.

Solution

Step 1:

To find if 18 is a multiple of 5, we find if 5 can divide evenly into 18, ie., without leaving any remainder.

18 ÷ 5 = 3 R 3

Step 2:

Since there is a remainder of 3, 5 does not divide evenly into 18. So,18 is not a multiple of 5.

Find if 36 is a multiple of 9.

Solution

Step 1:

To find if 36 is a multiple of 9, we find if 9 can divide evenly into 36.

36 ÷ 9 = 4

Step 2:

Since there is no remainder, 9 does divide evenly into 36. So, 36 is a multiple of 9.