Q: What are the factors or divisors of the number 592?

 A: 1248163774148296592

How do I find the factors or divisors of the number 592?

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 592, 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.

1 592

Next, we take the number 592 and divide it by 2.

In this case, 592 ÷ 2 = 296

If the quotient is a whole number, then 2 and 296 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

1 2 296 592

Now, we try dividing 592 by 3.

592 ÷ 3 = 197.3333

If the quotient is a whole number, then 3 and 197.3333 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 2 296 592

Let's try dividing by 4.

592 ÷ 4 = 148

If the quotient is a whole number, then 4 and 148 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 2 4 148 296 592

We keep dividing by the next largest number, in this case the number 5. If the quotient of 592 ÷ 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:

1248163774148296592

All of the numbers in the table above can be evenly divided into the number 592.

Finally, for your reference, here are all of the divisor combinations of the number 592:

1 x 592
2 x 296
4 x 148
8 x 74
16 x 37


More Examples

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