Question

How many numbers between 2 and 12 (inclusive) is the following number divisible
by? 378

Answer 1

There are 5 numbers between 2 and 12 (inclusive) by which 378 is divisible.

Explanation:

We have to find how many numbers between 2 and 12 (inclusive) is the number 378 divisible by.

Firstly, 378 is divisible by 2 as the last digit of the given number is even.

378 is divisible 3 because the sum of the digits (3 + 7 + 8 = 18) is divisible by 3.

378 is divisible by 6 because any number which is divisible by 2 and 3, will be divisible by 6 also.

378 is divisible by 7 as
`54 * 7` = 378.

378 is divisible 9 because the sum of the digits (3 + 7 + 8 = 18) is divisible by 9.

And, the number 378 is not divisible by 4, 5, 8, 10, 11, and 12.

Hence, there are 5 numbers between 2 and 12 (inclusive) by which 378 is divisible.