Question

Is $25,110$ divisible by $45$?If yes,justify by properties of divisibility.

Answer 1

Using factors to check divisibility

$45$ has co-prime factor pair $5$ and $9$.

To check divisibility by $45$ ,First check divisibility of $25,110$ by $5$,$9$.

Checking divisibility by $5$ :

$25,110$ have last digit as $0$ ,So it is divisible by $5$.

Checking divisibility by $9$ :

$25,110$ has digit sum $2+5+1+1+0=9$ is divisible by $9$ ,So $25,110$is divisible by $9$.

[If a number is divisible by a pair of coprime number then it is also divisible by their product ]

$\therefore$$25,110$is divisible by $5$ and $9$ so it will be divisible by the product of these numbers that is $45$.

Hence,$25,110$is divisible by $45$.