Is 5,742 divisible by 9

Step by step

The question

Question: is 5742 divisible by 9?

Divisible means it goes in exactly, with nothing left over.

1 Add the digits

We add the digits: 5 + 7 + 4 + 2 is 18.

Why add the digits?

Each ten is 9 and 1 more.

Each hundred is 99 and 1 more.

3 and 9 go into the 9s and 99s.

What is left over is the sum of the digits.

For 9: 18 divided by 9 is 2, nothing left over.

So 9 goes into 5742.

2 Write the answer

So 5742 is divisible by 9.

3 Check

Let's check by dividing.

5742 divided by 9 is 638, nothing left over.

The tests were right!

Let's look back.

First: add the digits.

Then: write the answer.

Last: check.