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Question

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


A
True
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B
False
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Solution

The correct option is A True

Prove divisibility for the given factors

Let c,d be two factors of b

If a is divisible by b then it implies that b is a factor of a

If b is a factor of a, then c,d both are factors of a too.

This implies that a is divisible by both c and d.

Hence, the given statement is True.


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