Q: What are the factor combinations of the number 361,442,339?

 A:
Positive:   1 x 36144233919 x 19023281181 x 1996919227 x 1592257463 x 7806533439 x 1051014313 x 838038797 x 41087
Negative: -1 x -361442339-19 x -19023281-181 x -1996919-227 x -1592257-463 x -780653-3439 x -105101-4313 x -83803-8797 x -41087


How do I find the factor combinations of the number 361,442,339?

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 361,442,339, 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.

1 361,442,339
-1 -361,442,339

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 361,442,339.

Example:
1 x 361,442,339 = 361,442,339
and
-1 x -361,442,339 = 361,442,339
Notice both answers equal 361,442,339

With that explanation out of the way, let's continue. Next, we take the number 361,442,339 and divide it by 2:

361,442,339 ÷ 2 = 180,721,169.5

If the quotient is a whole number, then 2 and 180,721,169.5 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:

1 361,442,339
-1 -361,442,339

Now, we try dividing 361,442,339 by 3:

361,442,339 ÷ 3 = 120,480,779.6667

If the quotient is a whole number, then 3 and 120,480,779.6667 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:

1 361,442,339
-1 -361,442,339

Let's try dividing by 4:

361,442,339 ÷ 4 = 90,360,584.75

If the quotient is a whole number, then 4 and 90,360,584.75 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:

1 361,442,339
-1 361,442,339
Keep dividing by the next highest number until you cannot divide anymore.

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

1191812274633,4394,3138,79741,08783,803105,101780,6531,592,2571,996,91919,023,281361,442,339
-1-19-181-227-463-3,439-4,313-8,797-41,087-83,803-105,101-780,653-1,592,257-1,996,919-19,023,281-361,442,339

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