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Is 51 divisible by 3

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

Step by step

The question

Question: is 51 divisible by 3?

Is 51 divisible by 3?

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

divisible: no remainder

1 Add the digits

We add the digits: 5 + 1 is 6.

= 5 + 1 = 6

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 3: 6 divided by 3 is 2, nothing left over.

So 3 goes into 51.

= ÷ 3: 6 ÷ 3 = 2 → yes ✓

Careful!

For 3, the last digit does not tell us.

51 ends in 1, and 3 still goes in.

We add the digits.

Careful: not ends in 1 → not ÷ 3 ✗

2 Write the answer

So 51 is divisible by 3.

= yes: 51 ÷ 3 has no remainder

3 Check

Let's check by dividing.

51 divided by 3 is 17, nothing left over.

51 ÷ 3 = 17

The tests were right!

Let's look back.

First: add the digits.

Then: write the answer.

Last: check.

Answer
= yes: 51 ÷ 3 has no remainder

Your turn

Try this one yourself, then check:

Is 75 divisible by 3?
Show the answer
yes

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