Q: What are the factor combinations of the number 23,724,863?

 A:
Positive:   1 x 2372486319 x 124867743 x 55174171 x 334153409 x 58007817 x 290391349 x 175873053 x 7771
Negative: -1 x -23724863-19 x -1248677-43 x -551741-71 x -334153-409 x -58007-817 x -29039-1349 x -17587-3053 x -7771


How do I find the factor combinations of the number 23,724,863?

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 divisors of larger numbers. To find the factor combinations of the number 23,724,863, it is easier to work with a table - it's called factoring from the outside in.

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. Then, below that, write the numbers as a negative as well.

1 23,724,863
-1 -23,724,863

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 23,724,863.

Example:
1 x 23,724,863 = 23,724,863
and
-1 x -23,724,863 = 23,724,863
Notice both answers equal 23,724,863

With that explanation out of the way, let's continue. Next, we take the number 23,724,863 and divide it by 2:

23,724,863 ÷ 2 = 11,862,431.5

If the quotient is a whole number, then 2 and 11,862,431.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 23,724,863
-1 -23,724,863

Now, we try dividing 23,724,863 by 3:

23,724,863 ÷ 3 = 7,908,287.6667

If the quotient is a whole number, then 3 and 7,908,287.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 23,724,863
-1 -23,724,863

Let's try dividing by 4:

23,724,863 ÷ 4 = 5,931,215.75

If the quotient is a whole number, then 4 and 5,931,215.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 23,724,863
-1 23,724,863
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

11943714098171,3493,0537,77117,58729,03958,007334,153551,7411,248,67723,724,863
-1-19-43-71-409-817-1,349-3,053-7,771-17,587-29,039-58,007-334,153-551,741-1,248,677-23,724,863

More Examples

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