Q: What are the factor combinations of the number 12,512,845?

 A:
Positive:   1 x 125128455 x 250256937 x 338185185 x 67637239 x 52355283 x 442151195 x 104711415 x 8843
Negative: -1 x -12512845-5 x -2502569-37 x -338185-185 x -67637-239 x -52355-283 x -44215-1195 x -10471-1415 x -8843


How do I find the factor combinations of the number 12,512,845?

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 12,512,845, 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 12,512,845
-1 -12,512,845

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 12,512,845.

Example:
1 x 12,512,845 = 12,512,845
and
-1 x -12,512,845 = 12,512,845
Notice both answers equal 12,512,845

With that explanation out of the way, let's continue. Next, we take the number 12,512,845 and divide it by 2:

12,512,845 ÷ 2 = 6,256,422.5

If the quotient is a whole number, then 2 and 6,256,422.5 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 12,512,845
-1 -12,512,845

Now, we try dividing 12,512,845 by 3:

12,512,845 ÷ 3 = 4,170,948.3333

If the quotient is a whole number, then 3 and 4,170,948.3333 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 12,512,845
-1 -12,512,845

Let's try dividing by 4:

12,512,845 ÷ 4 = 3,128,211.25

If the quotient is a whole number, then 4 and 3,128,211.25 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 12,512,845
-1 12,512,845
Keep dividing by the next highest number until you cannot divide anymore.

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

15371852392831,1951,4158,84310,47144,21552,35567,637338,1852,502,56912,512,845
-1-5-37-185-239-283-1,195-1,415-8,843-10,471-44,215-52,355-67,637-338,185-2,502,569-12,512,845

More Examples

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