How do I find the factors or divisors of the number 24,024?

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 24,024, 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 24,024

Next, we take the number 24,024 and divide it by 2.

In this case, 24,024 ÷ 2 = 12,012

If the quotient is a whole number, then 2 and 12,012 are factors. Write them in the table below. If the quotient is not a whole number, skip to the next test.

1 2 12,012 24,024

Now, we try dividing 24,024 by 3.

24,024 ÷ 3 = 8,008

If the quotient is a whole number, then 3 and 8,008 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 8,008 12,012 24,024

Let's try dividing by 4.

24,024 ÷ 4 = 6,006

If the quotient is a whole number, then 4 and 6,006 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 6,006 8,008 12,012 24,024

We keep dividing by the next largest number, in this case the number 5. If the quotient of 24,024 ÷ 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:

12346781112131421222426283339424452566677788488911041321431541561681822312642732863083123644294625465726167288589241,0011,0921,1441,7161,8482,0022,1843,0033,4324,0046,0068,00812,01224,024

All of the numbers in the table above can be evenly divided into the number 24,024.

Finally, for your reference, here are all of the divisor combinations of the number 24,024:

1 x 240242 x 120123 x 80084 x 60066 x 40047 x 34328 x 300311 x 218412 x 200213 x 184814 x 171621 x 114422 x 109224 x 100126 x 92428 x 85833 x 72839 x 61642 x 57244 x 54652 x 46256 x 42966 x 36477 x 31278 x 30884 x 28688 x 27391 x 264104 x 231132 x 182143 x 168154 x 156


More Examples

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