__maths__>__Divisibility in Whole Numbers__>__Simple Divisibility Tests: 2, 10, 3, 4, 5, 11, 9, 6__### Divisibility by 4

In this page, a simple overview of the divisibility test for `4` is provided.

*click on the content to continue..*

Consider `100` and `24`. Which of these is divisible by `4`?

Check this by long division method.

- `100`
- `24`
- both the above
- both the above

The answer is "both `100` and `24`"

The multiples of `4` have the property that last two digits are divisible by `4`.*Explanation for the curious mind*

A large number like `2344` can be given as `23xx100+44`.

It was learned that if one addend is divisible, then the divisibility is decided by the other addend.

`23xx100` is always divisible by `4` as `100=25xx4`.

So, the divisibility test is done in `44`, that is the tens and units digits.

**Test for Divisibility by 4** : If the last `2` digits (tens and units place value positions) of the number is divisible by `4` then the number is divisible by `4`.

Is `2018` divisible by `4`?

- Yes
- No
- No

The answer is "No". Checking the tens and units digits `18`, it is concluded that the number is not divisible by `4`.

Is `920` divisible by `4`?

- Yes
- Yes
- No

The answer is "Yes". Checking the tens and units digits `20`, it is concluded that the number is divisible by `4`.

*slide-show version coming soon*