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Is 2,736 divisible by 9

Step by step, with the reason for every step · Divisibility tests · Foundations

Step by step

The question

Question: is 2736 divisible by 9?

Is 2736 divisible by 9?

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

divisible: no remainder

1 Add the digits

We add the digits: 2 + 7 + 3 + 6 is 18.

= 2 + 7 + 3 + 6 = 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.

10 = 9 + 1, 100 = 99 + 1

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

So 9 goes into 2736.

= ÷ 9: 18 ÷ 9 = 2 → yes ✓

2 Write the answer

So 2736 is divisible by 9.

= yes: 2736 ÷ 9 has no remainder

3 Check

Let's check by dividing.

2736 divided by 9 is 304, nothing left over.

2736 ÷ 9 = 304

The tests were right!

Let's look back.

First: add the digits.

Then: write the answer.

Last: check.

Answer
= yes: 2736 ÷ 9 has no remainder

Your turn

Try this one yourself, then check:

Is 8370 divisible by 9?
Show the answer
yes

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