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Is 5,622 divisible by 4

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

Step by step

The question

Question: is 5622 divisible by 4?

Is 5622 divisible by 4?

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

divisible: no remainder

1 Look at the last two digits

= 5622

100 is 4 times 25.

So 4 goes into every hundred.

Only the last two digits are left: 22.

56 hundreds + 22 (100 = 4 × 25)

22 divided by 4 is 5, with 2 left over.

So no.

= ÷ 4: 22 ÷ 4 = 5 r 2 → no ✗

Careful!

Even is not enough for 4.

5622 is even, but 4 does not go into 22.

Careful: not even → ÷ 4 ✗

2 Write the answer

So 5622 is not divisible by 4.

= no: 5622 ÷ 4 has a remainder

3 Check

Let's check by dividing.

5622 divided by 4 is 1405, with 2 left over.

5622 ÷ 4 = 1405 r 2 (not divisible)

The tests were right!

Let's look back.

First: look at the last two digits.

Then: write the answer.

Last: check.

Answer
= no: 5622 ÷ 4 has a remainder

Your turn

Try this one yourself, then check:

Is 4030 divisible by 4?
Show the answer
no

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