Is 17 Divisible By 3?

In this quick and easy guide, we'll work out whether 17 is divisible by 3. 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 3". What we want to check is whether 17 can be divided by 3 without any remainder (i.e the answer is a whole number).

When checking if a number is divisible by 3, the easiest way to check this is to sum up the digits in 17 and if that resulting number is divisible by 3, then 17 is too.

1 + 7 = 8

We can see that the sum of the digits in this case is 8 and this number IS NOT divisible by 3, which means that 17 is also NOT divisible by 3.

Another way you can figure out if 17 is divisible by 3 is by actually doing the calculation and dividing 17 by 3:

17 / 3 =   5.6667

As you can see, when we do this division we have a decimal of 0.6667. Since the division does not result in a whole number, this shows us that 17 is not divisible by 3.

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 3 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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  • "Is 17 Divisible By 3?". VisualFractions.com. Accessed on October 13, 2024. http://visualfractions.com/calculator/divisible-by/is-17-divisible-by-3/.

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