Q: What are the factor combinations of the number 12,850,745?

 A:
Positive:   1 x 128507455 x 257014919 x 67635595 x 135271
Negative: -1 x -12850745-5 x -2570149-19 x -676355-95 x -135271


How do I find the factor combinations of the number 12,850,745?

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 12,850,745, 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 12,850,745
-1 -12,850,745

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 12,850,745.

Example:
1 x 12,850,745 = 12,850,745
and
-1 x -12,850,745 = 12,850,745
Notice both answers equal 12,850,745

With that explanation out of the way, let's continue. Next, we take the number 12,850,745 and divide it by 2:

12,850,745 ÷ 2 = 6,425,372.5

If the quotient is a whole number, then 2 and 6,425,372.5 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 12,850,745
-1 -12,850,745

Now, we try dividing 12,850,745 by 3:

12,850,745 ÷ 3 = 4,283,581.6667

If the quotient is a whole number, then 3 and 4,283,581.6667 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 12,850,745
-1 -12,850,745

Let's try dividing by 4:

12,850,745 ÷ 4 = 3,212,686.25

If the quotient is a whole number, then 4 and 3,212,686.25 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 12,850,745
-1 12,850,745
Keep dividing by the next highest number until you cannot divide anymore.

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

151995135,271676,3552,570,14912,850,745
-1-5-19-95-135,271-676,355-2,570,149-12,850,745

More Examples

Here are some more numbers to try:

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