Which of the following can not be the possible values of $a$ if $45 \equiv 0 (mod a) ?$

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Solution

The correct option is B 14
Two integers $a$ and $b$ are congruent modulo $n,$ if they differ by an integer multiple of $n .$
This can be represented as $a \equiv b (m o d n),$ which means that $a - b$ is divisible by $n .$

Given: $45 \equiv 0 (mod a)$
This means 45 is divisible by a.
The factors of 45 = 1, 3, 5, 9, 15, 45.
Therefore, the possible values of a = 1, 3, 5, 9, 15, 45.

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Which of the following can not be the possible values of a if 45≡0 (mod a)?

Which of the following can not be the possible values of $a$ if $45 \equiv 0 (mod a) ?$