If a number a is divisible by b , then it must be divisible by each factor of b.

Question

Philoid · Accepted Answer

True(T)

Here it’s given a is divisible by b,

Let b = x1.x2 ,where x1 and x2 are prime numbers.

Since a is divisible by b,a is a multiple of b.

i.e. a = p.b

⇒ a = p.x1.x2

Or a = cx2 = dx1 where c = px1 and d = px2

⇒ a is a multiple of p1 as well as p2.

Hence a is divisible by each factor of b.

If a number a is divisible by b, then it must be divisible by each factor of b.