Q: What are the factors or divisors of the number 952?

 A: 12478141728345668119136238476952

How do I find the factors or divisors of the number 952?

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 952, 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.

1 952

Next, we take the number 952 and divide it by 2.

In this case, 952 ÷ 2 = 476

If the quotient is a whole number, then 2 and 476 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

1 2 476 952

Now, we try dividing 952 by 3.

952 ÷ 3 = 317.3333

If the quotient is a whole number, then 3 and 317.3333 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 2 476 952

Let's try dividing by 4.

952 ÷ 4 = 238

If the quotient is a whole number, then 4 and 238 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 4 238 476 952

We keep dividing by the next largest number, in this case the number 5. If the quotient of 952 ÷ 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:

12478141728345668119136238476952

All of the numbers in the table above can be evenly divided into the number 952.

Finally, for your reference, here are all of the divisor combinations of the number 952:

1 x 9522 x 4764 x 2387 x 1368 x 11914 x 6817 x 5628 x 34


More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 952:


Ask a Question