Q: What are the factor combinations of the number 12,521,551?

 A:
Positive:   1 x 125215517 x 178879319 x 65902931 x 403921133 x 94147217 x 57703589 x 212593037 x 4123
Negative: -1 x -12521551-7 x -1788793-19 x -659029-31 x -403921-133 x -94147-217 x -57703-589 x -21259-3037 x -4123


How do I find the factor combinations of the number 12,521,551?

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 12,521,551, 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 12,521,551
-1 -12,521,551

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 12,521,551.

Example:
1 x 12,521,551 = 12,521,551
and
-1 x -12,521,551 = 12,521,551
Notice both answers equal 12,521,551

With that explanation out of the way, let's continue. Next, we take the number 12,521,551 and divide it by 2:

12,521,551 ÷ 2 = 6,260,775.5

If the quotient is a whole number, then 2 and 6,260,775.5 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 12,521,551
-1 -12,521,551

Now, we try dividing 12,521,551 by 3:

12,521,551 ÷ 3 = 4,173,850.3333

If the quotient is a whole number, then 3 and 4,173,850.3333 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 12,521,551
-1 -12,521,551

Let's try dividing by 4:

12,521,551 ÷ 4 = 3,130,387.75

If the quotient is a whole number, then 4 and 3,130,387.75 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 12,521,551
-1 12,521,551
Keep dividing by the next highest number until you cannot divide anymore.

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

1719311332175893,0374,12321,25957,70394,147403,921659,0291,788,79312,521,551
-1-7-19-31-133-217-589-3,037-4,123-21,259-57,703-94,147-403,921-659,029-1,788,793-12,521,551

More Examples

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