Q: What are the factor combinations of the number 125,757,755?

 A:
Positive:   1 x 1257577555 x 2515155117 x 739751585 x 1479503827 x 1520651789 x 702954135 x 304138945 x 14059
Negative: -1 x -125757755-5 x -25151551-17 x -7397515-85 x -1479503-827 x -152065-1789 x -70295-4135 x -30413-8945 x -14059


How do I find the factor combinations of the number 125,757,755?

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 125,757,755, 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.

1 125,757,755
-1 -125,757,755

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 125,757,755.

Example:
1 x 125,757,755 = 125,757,755
and
-1 x -125,757,755 = 125,757,755
Notice both answers equal 125,757,755

With that explanation out of the way, let's continue. Next, we take the number 125,757,755 and divide it by 2:

125,757,755 ÷ 2 = 62,878,877.5

If the quotient is a whole number, then 2 and 62,878,877.5 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:

1 125,757,755
-1 -125,757,755

Now, we try dividing 125,757,755 by 3:

125,757,755 ÷ 3 = 41,919,251.6667

If the quotient is a whole number, then 3 and 41,919,251.6667 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:

1 125,757,755
-1 -125,757,755

Let's try dividing by 4:

125,757,755 ÷ 4 = 31,439,438.75

If the quotient is a whole number, then 4 and 31,439,438.75 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:

1 125,757,755
-1 125,757,755
Keep dividing by the next highest number until you cannot divide anymore.

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

1517858271,7894,1358,94514,05930,41370,295152,0651,479,5037,397,51525,151,551125,757,755
-1-5-17-85-827-1,789-4,135-8,945-14,059-30,413-70,295-152,065-1,479,503-7,397,515-25,151,551-125,757,755

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