Q: What are the factor combinations of the number 13,312,331?

 A:
Positive:   1 x 1331233119 x 70064923 x 57879741 x 324691437 x 30463743 x 17917779 x 17089943 x 14117
Negative: -1 x -13312331-19 x -700649-23 x -578797-41 x -324691-437 x -30463-743 x -17917-779 x -17089-943 x -14117


How do I find the factor combinations of the number 13,312,331?

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 13,312,331, 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 13,312,331
-1 -13,312,331

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 13,312,331.

Example:
1 x 13,312,331 = 13,312,331
and
-1 x -13,312,331 = 13,312,331
Notice both answers equal 13,312,331

With that explanation out of the way, let's continue. Next, we take the number 13,312,331 and divide it by 2:

13,312,331 ÷ 2 = 6,656,165.5

If the quotient is a whole number, then 2 and 6,656,165.5 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 13,312,331
-1 -13,312,331

Now, we try dividing 13,312,331 by 3:

13,312,331 ÷ 3 = 4,437,443.6667

If the quotient is a whole number, then 3 and 4,437,443.6667 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 13,312,331
-1 -13,312,331

Let's try dividing by 4:

13,312,331 ÷ 4 = 3,328,082.75

If the quotient is a whole number, then 4 and 3,328,082.75 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 13,312,331
-1 13,312,331
Keep dividing by the next highest number until you cannot divide anymore.

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

119234143774377994314,11717,08917,91730,463324,691578,797700,64913,312,331
-1-19-23-41-437-743-779-943-14,117-17,089-17,917-30,463-324,691-578,797-700,649-13,312,331

More Examples

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