Q: What are the factor combinations of the number 13,426,331?

 A:
Positive:   1 x 1342633119 x 70664953 x 25332767 x 200393199 x 674691007 x 133331273 x 105473551 x 3781
Negative: -1 x -13426331-19 x -706649-53 x -253327-67 x -200393-199 x -67469-1007 x -13333-1273 x -10547-3551 x -3781


How do I find the factor combinations of the number 13,426,331?

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 13,426,331, 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 13,426,331
-1 -13,426,331

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 13,426,331.

Example:
1 x 13,426,331 = 13,426,331
and
-1 x -13,426,331 = 13,426,331
Notice both answers equal 13,426,331

With that explanation out of the way, let's continue. Next, we take the number 13,426,331 and divide it by 2:

13,426,331 ÷ 2 = 6,713,165.5

If the quotient is a whole number, then 2 and 6,713,165.5 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 13,426,331
-1 -13,426,331

Now, we try dividing 13,426,331 by 3:

13,426,331 ÷ 3 = 4,475,443.6667

If the quotient is a whole number, then 3 and 4,475,443.6667 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 13,426,331
-1 -13,426,331

Let's try dividing by 4:

13,426,331 ÷ 4 = 3,356,582.75

If the quotient is a whole number, then 4 and 3,356,582.75 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 13,426,331
-1 13,426,331
Keep dividing by the next highest number until you cannot divide anymore.

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

11953671991,0071,2733,5513,78110,54713,33367,469200,393253,327706,64913,426,331
-1-19-53-67-199-1,007-1,273-3,551-3,781-10,547-13,333-67,469-200,393-253,327-706,649-13,426,331

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