Q: What are the factors or divisors of the number 597?

 A: 13199597

How do I find the factors or divisors of the number 597?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the factors of larger numbers. To find the factors of the number 597, it is easiest to start from the outside in. Here's what we mean:

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table.

1 597

Next, we take the number 597 and divide it by 2.

In this case, 597 ÷ 2 = 298.5

If the quotient is a whole number, then 2 and 298.5 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

1 597

Now, we try dividing 597 by 3.

597 ÷ 3 = 199

If the quotient is a whole number, then 3 and 199 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

Here is what our table should look like at this step:

1 3 199 597

Let's try dividing by 4.

597 ÷ 4 = 149.25

If the quotient is a whole number, then 4 and 149.25 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

Here is what our table should look like at this step:

1 3 199 597

We keep dividing by the next largest number, in this case the number 5. If the quotient of 597 ÷ 5 is a whole number, then 5 and your quotient are factors of the number.


Keep dividing by the next highest number until you cannot divide anymore.


What you will end up with is this table:

13199597

All of the numbers in the table above can be evenly divided into the number 597.

Finally, for your reference, here are all of the divisor combinations of the number 597:

1 x 597
3 x 199


More Examples

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