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Is 342 divisible by 3

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

Step by step

The question

Question: is 342 divisible by 3?

Is 342 divisible by 3?

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

divisible: no remainder

1 Add the digits

We add the digits: 3 + 4 + 2 is 9.

= 3 + 4 + 2 = 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.

10 = 9 + 1, 100 = 99 + 1

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

So 3 goes into 342.

= ÷ 3: 9 ÷ 3 = 3 → yes ✓

Careful!

For 3, the last digit does not tell us.

342 ends in 2, and 3 still goes in.

We add the digits.

Careful: not ends in 2 → not ÷ 3 ✗

2 Write the answer

So 342 is divisible by 3.

= yes: 342 ÷ 3 has no remainder

3 Check

Let's check by dividing.

342 divided by 3 is 114, nothing left over.

342 ÷ 3 = 114

The tests were right!

Let's look back.

First: add the digits.

Then: write the answer.

Last: check.

Answer
= yes: 342 ÷ 3 has no remainder

Your turn

Try this one yourself, then check:

Is 777 divisible by 3?
Show the answer
yes

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