Q: What are the factor combinations of the number 131,352,625?

 A:
Positive:   1 x 1313526255 x 2627052517 x 772662525 x 525410585 x 1545325125 x 1050821425 x 3090652125 x 61813
Negative: -1 x -131352625-5 x -26270525-17 x -7726625-25 x -5254105-85 x -1545325-125 x -1050821-425 x -309065-2125 x -61813


How do I find the factor combinations of the number 131,352,625?

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 131,352,625, 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.

1 131,352,625
-1 -131,352,625

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 131,352,625.

Example:
1 x 131,352,625 = 131,352,625
and
-1 x -131,352,625 = 131,352,625
Notice both answers equal 131,352,625

With that explanation out of the way, let's continue. Next, we take the number 131,352,625 and divide it by 2:

131,352,625 ÷ 2 = 65,676,312.5

If the quotient is a whole number, then 2 and 65,676,312.5 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:

1 131,352,625
-1 -131,352,625

Now, we try dividing 131,352,625 by 3:

131,352,625 ÷ 3 = 43,784,208.3333

If the quotient is a whole number, then 3 and 43,784,208.3333 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:

1 131,352,625
-1 -131,352,625

Let's try dividing by 4:

131,352,625 ÷ 4 = 32,838,156.25

If the quotient is a whole number, then 4 and 32,838,156.25 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:

1 131,352,625
-1 131,352,625
Keep dividing by the next highest number until you cannot divide anymore.

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

151725851254252,12561,813309,0651,050,8211,545,3255,254,1057,726,62526,270,525131,352,625
-1-5-17-25-85-125-425-2,125-61,813-309,065-1,050,821-1,545,325-5,254,105-7,726,625-26,270,525-131,352,625

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