Q: What are the factor combinations of the number 125,330,117?

 A:
Positive:   1 x 12533011711 x 1139364731 x 4042907157 x 798281341 x 3675371727 x 725712341 x 535374867 x 25751
Negative: -1 x -125330117-11 x -11393647-31 x -4042907-157 x -798281-341 x -367537-1727 x -72571-2341 x -53537-4867 x -25751


How do I find the factor combinations of the number 125,330,117?

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 125,330,117, 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.

1 125,330,117
-1 -125,330,117

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 125,330,117.

Example:
1 x 125,330,117 = 125,330,117
and
-1 x -125,330,117 = 125,330,117
Notice both answers equal 125,330,117

With that explanation out of the way, let's continue. Next, we take the number 125,330,117 and divide it by 2:

125,330,117 ÷ 2 = 62,665,058.5

If the quotient is a whole number, then 2 and 62,665,058.5 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:

1 125,330,117
-1 -125,330,117

Now, we try dividing 125,330,117 by 3:

125,330,117 ÷ 3 = 41,776,705.6667

If the quotient is a whole number, then 3 and 41,776,705.6667 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:

1 125,330,117
-1 -125,330,117

Let's try dividing by 4:

125,330,117 ÷ 4 = 31,332,529.25

If the quotient is a whole number, then 4 and 31,332,529.25 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:

1 125,330,117
-1 125,330,117
Keep dividing by the next highest number until you cannot divide anymore.

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

111311573411,7272,3414,86725,75153,53772,571367,537798,2814,042,90711,393,647125,330,117
-1-11-31-157-341-1,727-2,341-4,867-25,751-53,537-72,571-367,537-798,281-4,042,907-11,393,647-125,330,117

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