Q: What are the factor combinations of the number 12,816,745?

 A:
Positive:   1 x 128167455 x 2563349883 x 145152903 x 4415
Negative: -1 x -12816745-5 x -2563349-883 x -14515-2903 x -4415


How do I find the factor combinations of the number 12,816,745?

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 12,816,745, 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 12,816,745
-1 -12,816,745

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 12,816,745.

Example:
1 x 12,816,745 = 12,816,745
and
-1 x -12,816,745 = 12,816,745
Notice both answers equal 12,816,745

With that explanation out of the way, let's continue. Next, we take the number 12,816,745 and divide it by 2:

12,816,745 ÷ 2 = 6,408,372.5

If the quotient is a whole number, then 2 and 6,408,372.5 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 12,816,745
-1 -12,816,745

Now, we try dividing 12,816,745 by 3:

12,816,745 ÷ 3 = 4,272,248.3333

If the quotient is a whole number, then 3 and 4,272,248.3333 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 12,816,745
-1 -12,816,745

Let's try dividing by 4:

12,816,745 ÷ 4 = 3,204,186.25

If the quotient is a whole number, then 4 and 3,204,186.25 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 12,816,745
-1 12,816,745
Keep dividing by the next highest number until you cannot divide anymore.

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

158832,9034,41514,5152,563,34912,816,745
-1-5-883-2,903-4,415-14,515-2,563,349-12,816,745

More Examples

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