Is 1,035 divisible by 6

Step by step

The question

Question: is 1035 divisible by 6?

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

1 Look at the last digit

1035 is 103 tens and 5.

2 goes into 10, so into every ten.

Only the last digit is left to check.

For 2: is it even: 0, 2, 4, 6 or 8?

The last digit is 5.

So no.

2 Add the digits

We add the digits: 1 + 0 + 3 + 5 is 9.

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 3: 9 divided by 3 is 3, nothing left over.

So 3 goes into 1035.

3 Use 2 and 3

6 is 2 times 3.

So 6 goes in only when 2 and 3 both go in.

2 does not.

So no.

Careful!

6 needs both: 2 and 3.

Only 3 goes into 1035.

4 Write the answer

So 1035 is not divisible by 6.

5 Check

Let's check by dividing.

1035 divided by 6 is 172, with 3 left over.

The tests were right!

Let's look back.

First: look at the last digit.

Then: add the digits.

Then: use 2 and 3.

Then: write the answer.

Last: check.