Q: What are the factor combinations of the number 125,137,655?

 A:
Positive:   1 x 1251376555 x 25027531653 x 1916353265 x 38327
Negative: -1 x -125137655-5 x -25027531-653 x -191635-3265 x -38327


How do I find the factor combinations of the number 125,137,655?

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 125,137,655, 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.

1 125,137,655
-1 -125,137,655

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 125,137,655.

Example:
1 x 125,137,655 = 125,137,655
and
-1 x -125,137,655 = 125,137,655
Notice both answers equal 125,137,655

With that explanation out of the way, let's continue. Next, we take the number 125,137,655 and divide it by 2:

125,137,655 ÷ 2 = 62,568,827.5

If the quotient is a whole number, then 2 and 62,568,827.5 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:

1 125,137,655
-1 -125,137,655

Now, we try dividing 125,137,655 by 3:

125,137,655 ÷ 3 = 41,712,551.6667

If the quotient is a whole number, then 3 and 41,712,551.6667 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:

1 125,137,655
-1 -125,137,655

Let's try dividing by 4:

125,137,655 ÷ 4 = 31,284,413.75

If the quotient is a whole number, then 4 and 31,284,413.75 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:

1 125,137,655
-1 125,137,655
Keep dividing by the next highest number until you cannot divide anymore.

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

156533,26538,327191,63525,027,531125,137,655
-1-5-653-3,265-38,327-191,635-25,027,531-125,137,655

More Examples

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