If a number a is divisible by b, then it must be divisible by eac… - Vidyadip

Question

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

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Answer

Given, $a$ is divisible by $b.$ Let $b = b1.\ p2,$ where $p1$ and $p2$ are primes. Since, a is divisible by $b,\ a$ is a multiple of $b$ i.e. $a = mb$ $a = m. p1. p2$ or $a = cp2 = dp1,$ where $c = mp1, d = mp2 = a$ is a multiple of $p1$ as well as $?2.$ Hence, $a$ is divisible by each factor $b.$

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