Q: What are the factors or divisors of the number 920?

 A: 12458102023404692115184230460920

How do I find the factors or divisors of the number 920?

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 920, 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.

1 920

Next, we take the number 920 and divide it by 2.

In this case, 920 ÷ 2 = 460

If the quotient is a whole number, then 2 and 460 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

1 2 460 920

Now, we try dividing 920 by 3.

920 ÷ 3 = 306.6667

If the quotient is a whole number, then 3 and 306.6667 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 2 460 920

Let's try dividing by 4.

920 ÷ 4 = 230

If the quotient is a whole number, then 4 and 230 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 4 230 460 920

We keep dividing by the next largest number, in this case the number 5. If the quotient of 920 ÷ 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:

12458102023404692115184230460920

All of the numbers in the table above can be evenly divided into the number 920.

Finally, for your reference, here are all of the divisor combinations of the number 920:

1 x 9202 x 4604 x 2305 x 1848 x 11510 x 9220 x 4623 x 40


More Examples

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