Q: What are the factors or divisors of the number 957?

 A: 1311293387319957

How do I find the factors or divisors of the number 957?

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 957, 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.

1 957

Next, we take the number 957 and divide it by 2.

In this case, 957 ÷ 2 = 478.5

If the quotient is a whole number, then 2 and 478.5 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

1 957

Now, we try dividing 957 by 3.

957 ÷ 3 = 319

If the quotient is a whole number, then 3 and 319 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 3 319 957

Let's try dividing by 4.

957 ÷ 4 = 239.25

If the quotient is a whole number, then 4 and 239.25 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 3 319 957

We keep dividing by the next largest number, in this case the number 5. If the quotient of 957 ÷ 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:

1311293387319957

All of the numbers in the table above can be evenly divided into the number 957.

Finally, for your reference, here are all of the divisor combinations of the number 957:

1 x 957
3 x 319
11 x 87
29 x 33


More Examples

Here are some more numbers to try:

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