Q: What are the factor combinations of the number 131,324,515?

 A:
Positive:   1 x 1313245155 x 262649037 x 1876064535 x 3752129241 x 5449151205 x 1089831687 x 778458435 x 15569
Negative: -1 x -131324515-5 x -26264903-7 x -18760645-35 x -3752129-241 x -544915-1205 x -108983-1687 x -77845-8435 x -15569


How do I find the factor combinations of the number 131,324,515?

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 131,324,515, 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.

1 131,324,515
-1 -131,324,515

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 131,324,515.

Example:
1 x 131,324,515 = 131,324,515
and
-1 x -131,324,515 = 131,324,515
Notice both answers equal 131,324,515

With that explanation out of the way, let's continue. Next, we take the number 131,324,515 and divide it by 2:

131,324,515 ÷ 2 = 65,662,257.5

If the quotient is a whole number, then 2 and 65,662,257.5 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:

1 131,324,515
-1 -131,324,515

Now, we try dividing 131,324,515 by 3:

131,324,515 ÷ 3 = 43,774,838.3333

If the quotient is a whole number, then 3 and 43,774,838.3333 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:

1 131,324,515
-1 -131,324,515

Let's try dividing by 4:

131,324,515 ÷ 4 = 32,831,128.75

If the quotient is a whole number, then 4 and 32,831,128.75 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:

1 131,324,515
-1 131,324,515
Keep dividing by the next highest number until you cannot divide anymore.

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

157352411,2051,6878,43515,56977,845108,983544,9153,752,12918,760,64526,264,903131,324,515
-1-5-7-35-241-1,205-1,687-8,435-15,569-77,845-108,983-544,915-3,752,129-18,760,645-26,264,903-131,324,515

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