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


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.


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