# If a number a is divisible by b, then it must be divisible by each factor of b.Is the given statement true or false?

**Solution:**

Let the __number__ a = 48 and it is divisible by 12.

The __factors__ of 12 are 1, 2, 3, 4, and 6

Hence 48 is divisible by 1, 2, 3, 4, and 6.

The statement is true.(T)

**✦ Try This: **If a number a is multiple of b, then it must be multiple by each factor of b. Is the given statement true or false?

Let the number a = 56 and it is divisible by b = 14.

The factors of 14 are 1, 2, and, 7

Hence 56 is a multiple of each factor of 14 i.e. 1, 2, and 7.

The statement is true.(T)

**☛ Also Check: **NCERT Solutions for Class 8 Maths Chapter 16

**NCERT Exemplar Class 8 Maths Chapter 13 Problem 40**

## If a number a is divisible by b, then it must be divisible by each factor of b.Is the given statement true or false?

**Summary:**

If a number a is divisible by b, then a must be multiple by each factor of b is a true statement.

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