Q: What are the factor combinations of the number 12,513,515?

 A:
Positive:   1 x 125135155 x 25027037 x 178764535 x 35752947 x 266245235 x 53249329 x 380351645 x 7607
Negative: -1 x -12513515-5 x -2502703-7 x -1787645-35 x -357529-47 x -266245-235 x -53249-329 x -38035-1645 x -7607


How do I find the factor combinations of the number 12,513,515?

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 12,513,515, 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 12,513,515
-1 -12,513,515

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 12,513,515.

Example:
1 x 12,513,515 = 12,513,515
and
-1 x -12,513,515 = 12,513,515
Notice both answers equal 12,513,515

With that explanation out of the way, let's continue. Next, we take the number 12,513,515 and divide it by 2:

12,513,515 ÷ 2 = 6,256,757.5

If the quotient is a whole number, then 2 and 6,256,757.5 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 12,513,515
-1 -12,513,515

Now, we try dividing 12,513,515 by 3:

12,513,515 ÷ 3 = 4,171,171.6667

If the quotient is a whole number, then 3 and 4,171,171.6667 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 12,513,515
-1 -12,513,515

Let's try dividing by 4:

12,513,515 ÷ 4 = 3,128,378.75

If the quotient is a whole number, then 4 and 3,128,378.75 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 12,513,515
-1 12,513,515
Keep dividing by the next highest number until you cannot divide anymore.

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

15735472353291,6457,60738,03553,249266,245357,5291,787,6452,502,70312,513,515
-1-5-7-35-47-235-329-1,645-7,607-38,035-53,249-266,245-357,529-1,787,645-2,502,703-12,513,515

More Examples

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