Q: What are the factors or divisors of the number 924?

 A: 123467111214212228334244667784132154231308462924

How do I find the factors or divisors of the number 924?

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 924, 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.

1 924

Next, we take the number 924 and divide it by 2.

In this case, 924 ÷ 2 = 462

If the quotient is a whole number, then 2 and 462 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

1 2 462 924

Now, we try dividing 924 by 3.

924 ÷ 3 = 308

If the quotient is a whole number, then 3 and 308 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 3 308 462 924

Let's try dividing by 4.

924 ÷ 4 = 231

If the quotient is a whole number, then 4 and 231 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 3 4 231 308 462 924

We keep dividing by the next largest number, in this case the number 5. If the quotient of 924 ÷ 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:

123467111214212228334244667784132154231308462924

All of the numbers in the table above can be evenly divided into the number 924.

Finally, for your reference, here are all of the divisor combinations of the number 924:

1 x 9242 x 4623 x 3084 x 2316 x 1547 x 13211 x 8412 x 7714 x 6621 x 4422 x 4228 x 33


More Examples

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