Q: What are the factor combinations of the number 331,021,339?

 A:
Positive:   1 x 33102133911 x 3009284967 x 4940617101 x 3277439737 x 4491471111 x 2979494447 x 744376767 x 48917
Negative: -1 x -331021339-11 x -30092849-67 x -4940617-101 x -3277439-737 x -449147-1111 x -297949-4447 x -74437-6767 x -48917


How do I find the factor combinations of the number 331,021,339?

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 331,021,339, 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.

1 331,021,339
-1 -331,021,339

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 331,021,339.

Example:
1 x 331,021,339 = 331,021,339
and
-1 x -331,021,339 = 331,021,339
Notice both answers equal 331,021,339

With that explanation out of the way, let's continue. Next, we take the number 331,021,339 and divide it by 2:

331,021,339 ÷ 2 = 165,510,669.5

If the quotient is a whole number, then 2 and 165,510,669.5 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:

1 331,021,339
-1 -331,021,339

Now, we try dividing 331,021,339 by 3:

331,021,339 ÷ 3 = 110,340,446.3333

If the quotient is a whole number, then 3 and 110,340,446.3333 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:

1 331,021,339
-1 -331,021,339

Let's try dividing by 4:

331,021,339 ÷ 4 = 82,755,334.75

If the quotient is a whole number, then 4 and 82,755,334.75 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:

1 331,021,339
-1 331,021,339
Keep dividing by the next highest number until you cannot divide anymore.

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

111671017371,1114,4476,76748,91774,437297,949449,1473,277,4394,940,61730,092,849331,021,339
-1-11-67-101-737-1,111-4,447-6,767-48,917-74,437-297,949-449,147-3,277,439-4,940,617-30,092,849-331,021,339

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