Divisibility Rules for 4 and 8 Start Practice ## Divisibility Rules for 4 and 8 Divisible means that a number can be split equally by another number. Divisibility rules are like shortcuts for telling if one number can divide another.

So far you’ve learned divisibility rules for 2, 5 and 10, and divisibility rules for 3, 6, 9

Now, let’s learn divisibility rules for 4 and 8!

### Divisible by 4 When a number is divisible by 4, the last two digits are divisible by 4!

So, it’s important to know your 2-digit multiples of 4:

4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 48

And these, too:

52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96

Tip: If you can't remember these big 2-digit numbers 👆, just subtract 40 from them, and see if the difference is divisible by 4.

Is 44 divisible by 4?

If you can't remember, subtract 40 from 44:

44 - 40 = 4.

Is 4 divisible by 4? Yes! So 44 is divisible by 4 too!

Now you know all the 2-digit numbers that are divisible by 4.

Let's practice with some bigger numbers!

Is 4,388 divisible by 4?

Just look at the last two digits!

4,388

88 is divisible by 4! 🌟

That means, 4,388 is divisible by 4.

Let’s try another one:

Is 45,061 divisible by 4?

Take a look at the last two digits:

45,061

Is 61 divisible by 4?

No. ❎

That means 45,061 is not divisible by 4.

Great job! Now let's learn about 8.

### Divisible by 8 If the last 3 digits of a number are divisible by 8, the entire number is divisible by 8.

For these, you might need to do a little long division.

Let’s try it out!

Is 4,200 divisible by 8?

Let’s see if we can divide the last three digits by 8 evenly!

We can’t divide 2 by 8, so we move to 20 divided by 8. Now, we can divide 40 by 8. Since, we have no remainder, we know that 4,200 is divisible by 8!

Let’s try another one! 😎

Is 7,246 divisible by 8?

Let’s set up a division problem with the last three digits: We can’t divide 8 into 2, so we divide into 24: Can we divide 6 by 8? 🤔

No! So, we write 0 and find our remainder: Since 8 doesn’t divide evenly into 246, we know that 7,246 is not divisible by 8.

Great job! 💪 Now, you know how to figure if numbers are divisible by 4 and 8! Start Practice Teachers: Assign to students Duplicate Edit Questions Edit Article Duplicate Preview Questions Edit Assign
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