# Is 17 Divisible By 11?

In this quick and easy guide, we'll work out whether 17 is divisible by 11. There are some simple rules we can follow to decide whether one number is divisible by another without ever needing to even do the division!

First up, let's clarify what we mean by "17 is divisible by 11". What we want to check is whether 17 can be divided by 11 without any remainder (i.e the answer is a whole number).

Checking whether a small number is divisible by 11 is as easy as mentally reciting your 11 times table. However, when numbers get a lot larger, this becomes difficult and for most cases, it's easiest to use a calculator and check if 17 divided by 11 results in a whole number.

If you are curious about how to work this out without doing the division on a calculator, you can take each digit and alternately add and subtract them from left to right. If the result of that is divisible by 11, so is 17. For example:

1 - 7 = -6

We can see that the sum of the digits in this case is -6 and this number IS NOT divisible by 11, which means that **17 is also NOT divisible by 11.**

Another way you can figure out if 17 is divisible by 11 is by actually doing the calculation and dividing 17 by 11:

As you can see, when we do this division we have a decimal of 0.5455. Since the division does not result in a whole number, this shows us that 17 is not divisible by 11.

Hopefully now you know exactly how to work out whether one number is divisible by another. Could I have just told you to divide 17 by 11 and check if it is a whole number? Yes, but aren't you glad you learned the process?

Give this a go for yourself and try to calculate a couple of these without using our calculator. Grab a pencil and a piece of paper and pick a couple of numbers to try it with.

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