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