Q: What are the factor combinations of the number 130,122,125?

 A:
Positive:   1 x 1301221255 x 260244257 x 1858887525 x 520488535 x 3717775125 x 1040977175 x 743555875 x 148711
Negative: -1 x -130122125-5 x -26024425-7 x -18588875-25 x -5204885-35 x -3717775-125 x -1040977-175 x -743555-875 x -148711


How do I find the factor combinations of the number 130,122,125?

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 130,122,125, 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.

1 130,122,125
-1 -130,122,125

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 130,122,125.

Example:
1 x 130,122,125 = 130,122,125
and
-1 x -130,122,125 = 130,122,125
Notice both answers equal 130,122,125

With that explanation out of the way, let's continue. Next, we take the number 130,122,125 and divide it by 2:

130,122,125 ÷ 2 = 65,061,062.5

If the quotient is a whole number, then 2 and 65,061,062.5 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:

1 130,122,125
-1 -130,122,125

Now, we try dividing 130,122,125 by 3:

130,122,125 ÷ 3 = 43,374,041.6667

If the quotient is a whole number, then 3 and 43,374,041.6667 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:

1 130,122,125
-1 -130,122,125

Let's try dividing by 4:

130,122,125 ÷ 4 = 32,530,531.25

If the quotient is a whole number, then 4 and 32,530,531.25 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:

1 130,122,125
-1 130,122,125
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535125175875148,711743,5551,040,9773,717,7755,204,88518,588,87526,024,425130,122,125
-1-5-7-25-35-125-175-875-148,711-743,555-1,040,977-3,717,775-5,204,885-18,588,875-26,024,425-130,122,125

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