Q: What are the factor combinations of the number 331,221,325?

 A:
Positive:   1 x 3312213255 x 6624426525 x 1324885329 x 1142142579 x 4192675145 x 2284285395 x 838535725 x 4568571975 x 1677072291 x 1445755783 x 5727511455 x 28915
Negative: -1 x -331221325-5 x -66244265-25 x -13248853-29 x -11421425-79 x -4192675-145 x -2284285-395 x -838535-725 x -456857-1975 x -167707-2291 x -144575-5783 x -57275-11455 x -28915


How do I find the factor combinations of the number 331,221,325?

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 331,221,325, 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.

1 331,221,325
-1 -331,221,325

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 331,221,325.

Example:
1 x 331,221,325 = 331,221,325
and
-1 x -331,221,325 = 331,221,325
Notice both answers equal 331,221,325

With that explanation out of the way, let's continue. Next, we take the number 331,221,325 and divide it by 2:

331,221,325 ÷ 2 = 165,610,662.5

If the quotient is a whole number, then 2 and 165,610,662.5 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:

1 331,221,325
-1 -331,221,325

Now, we try dividing 331,221,325 by 3:

331,221,325 ÷ 3 = 110,407,108.3333

If the quotient is a whole number, then 3 and 110,407,108.3333 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:

1 331,221,325
-1 -331,221,325

Let's try dividing by 4:

331,221,325 ÷ 4 = 82,805,331.25

If the quotient is a whole number, then 4 and 82,805,331.25 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:

1 331,221,325
-1 331,221,325
Keep dividing by the next highest number until you cannot divide anymore.

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

152529791453957251,9752,2915,78311,45528,91557,275144,575167,707456,857838,5352,284,2854,192,67511,421,42513,248,85366,244,265331,221,325
-1-5-25-29-79-145-395-725-1,975-2,291-5,783-11,455-28,915-57,275-144,575-167,707-456,857-838,535-2,284,285-4,192,675-11,421,425-13,248,853-66,244,265-331,221,325

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