Q: What are the factor combinations of the number 12,805,981?

 A:
Positive:   1 x 1280598117 x 75329319 x 67399941 x 312341323 x 39647697 x 18373779 x 16439967 x 13243
Negative: -1 x -12805981-17 x -753293-19 x -673999-41 x -312341-323 x -39647-697 x -18373-779 x -16439-967 x -13243


How do I find the factor combinations of the number 12,805,981?

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 12,805,981, 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 12,805,981
-1 -12,805,981

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 12,805,981.

Example:
1 x 12,805,981 = 12,805,981
and
-1 x -12,805,981 = 12,805,981
Notice both answers equal 12,805,981

With that explanation out of the way, let's continue. Next, we take the number 12,805,981 and divide it by 2:

12,805,981 ÷ 2 = 6,402,990.5

If the quotient is a whole number, then 2 and 6,402,990.5 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 12,805,981
-1 -12,805,981

Now, we try dividing 12,805,981 by 3:

12,805,981 ÷ 3 = 4,268,660.3333

If the quotient is a whole number, then 3 and 4,268,660.3333 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 12,805,981
-1 -12,805,981

Let's try dividing by 4:

12,805,981 ÷ 4 = 3,201,495.25

If the quotient is a whole number, then 4 and 3,201,495.25 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 12,805,981
-1 12,805,981
Keep dividing by the next highest number until you cannot divide anymore.

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

117194132369777996713,24316,43918,37339,647312,341673,999753,29312,805,981
-1-17-19-41-323-697-779-967-13,243-16,439-18,373-39,647-312,341-673,999-753,293-12,805,981

More Examples

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