Q: What are the factor combinations of the number 24,847,537?

 A:
Positive:   1 x 2484753711 x 225886713 x 191134947 x 528671143 x 173759517 x 48061611 x 406673697 x 6721
Negative: -1 x -24847537-11 x -2258867-13 x -1911349-47 x -528671-143 x -173759-517 x -48061-611 x -40667-3697 x -6721


How do I find the factor combinations of the number 24,847,537?

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 24,847,537, 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 24,847,537
-1 -24,847,537

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 24,847,537.

Example:
1 x 24,847,537 = 24,847,537
and
-1 x -24,847,537 = 24,847,537
Notice both answers equal 24,847,537

With that explanation out of the way, let's continue. Next, we take the number 24,847,537 and divide it by 2:

24,847,537 ÷ 2 = 12,423,768.5

If the quotient is a whole number, then 2 and 12,423,768.5 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 24,847,537
-1 -24,847,537

Now, we try dividing 24,847,537 by 3:

24,847,537 ÷ 3 = 8,282,512.3333

If the quotient is a whole number, then 3 and 8,282,512.3333 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 24,847,537
-1 -24,847,537

Let's try dividing by 4:

24,847,537 ÷ 4 = 6,211,884.25

If the quotient is a whole number, then 4 and 6,211,884.25 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 24,847,537
-1 24,847,537
Keep dividing by the next highest number until you cannot divide anymore.

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

11113471435176113,6976,72140,66748,061173,759528,6711,911,3492,258,86724,847,537
-1-11-13-47-143-517-611-3,697-6,721-40,667-48,061-173,759-528,671-1,911,349-2,258,867-24,847,537

More Examples

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