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Is 73 divisible by 3

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

Step by step

The question

Question: is 73 divisible by 3?

Is 73 divisible by 3?

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

divisible: no remainder

1 Add the digits

We add the digits: 7 + 3 is 10.

= 7 + 3 = 10

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: 10 divided by 3 is 3, with 1 left over.

So 3 does not go into 73.

= ÷ 3: 10 ÷ 3 = 3 r 1 → no ✗

Careful!

For 3, the last digit does not tell us.

73 ends in 3, but 3 does not go in.

We add the digits.

Careful: not ends in 3 → ÷ 3 ✗

2 Write the answer

So 73 is not divisible by 3.

= no: 73 ÷ 3 has a remainder

3 Check

Let's check by dividing.

73 divided by 3 is 24, with 1 left over.

73 ÷ 3 = 24 r 1 (not divisible)

The tests were right!

Let's look back.

First: add the digits.

Then: write the answer.

Last: check.

Answer
= no: 73 ÷ 3 has a remainder

Your turn

Try this one yourself, then check:

Is 23 divisible by 3?
Show the answer
no

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