Q: What are the factor combinations of the number 327,021,325?

 A:
Positive:   1 x 3270213255 x 6540426525 x 1308085331 x 10549075155 x 2109815233 x 1403525775 x 4219631165 x 2807051811 x 1805755825 x 561417223 x 452759055 x 36115
Negative: -1 x -327021325-5 x -65404265-25 x -13080853-31 x -10549075-155 x -2109815-233 x -1403525-775 x -421963-1165 x -280705-1811 x -180575-5825 x -56141-7223 x -45275-9055 x -36115


How do I find the factor combinations of the number 327,021,325?

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 327,021,325, 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.

1 327,021,325
-1 -327,021,325

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 327,021,325.

Example:
1 x 327,021,325 = 327,021,325
and
-1 x -327,021,325 = 327,021,325
Notice both answers equal 327,021,325

With that explanation out of the way, let's continue. Next, we take the number 327,021,325 and divide it by 2:

327,021,325 ÷ 2 = 163,510,662.5

If the quotient is a whole number, then 2 and 163,510,662.5 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:

1 327,021,325
-1 -327,021,325

Now, we try dividing 327,021,325 by 3:

327,021,325 ÷ 3 = 109,007,108.3333

If the quotient is a whole number, then 3 and 109,007,108.3333 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:

1 327,021,325
-1 -327,021,325

Let's try dividing by 4:

327,021,325 ÷ 4 = 81,755,331.25

If the quotient is a whole number, then 4 and 81,755,331.25 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:

1 327,021,325
-1 327,021,325
Keep dividing by the next highest number until you cannot divide anymore.

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

1525311552337751,1651,8115,8257,2239,05536,11545,27556,141180,575280,705421,9631,403,5252,109,81510,549,07513,080,85365,404,265327,021,325
-1-5-25-31-155-233-775-1,165-1,811-5,825-7,223-9,055-36,115-45,275-56,141-180,575-280,705-421,963-1,403,525-2,109,815-10,549,075-13,080,853-65,404,265-327,021,325

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