Q: What are the factor combinations of the number 307,715,507?

 A:
Positive:   1 x 30771550711 x 2797413719 x 1619555379 x 3895133209 x 1472323869 x 3541031501 x 20500716511 x 18637
Negative: -1 x -307715507-11 x -27974137-19 x -16195553-79 x -3895133-209 x -1472323-869 x -354103-1501 x -205007-16511 x -18637


How do I find the factor combinations of the number 307,715,507?

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 307,715,507, 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.

1 307,715,507
-1 -307,715,507

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 307,715,507.

Example:
1 x 307,715,507 = 307,715,507
and
-1 x -307,715,507 = 307,715,507
Notice both answers equal 307,715,507

With that explanation out of the way, let's continue. Next, we take the number 307,715,507 and divide it by 2:

307,715,507 ÷ 2 = 153,857,753.5

If the quotient is a whole number, then 2 and 153,857,753.5 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:

1 307,715,507
-1 -307,715,507

Now, we try dividing 307,715,507 by 3:

307,715,507 ÷ 3 = 102,571,835.6667

If the quotient is a whole number, then 3 and 102,571,835.6667 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:

1 307,715,507
-1 -307,715,507

Let's try dividing by 4:

307,715,507 ÷ 4 = 76,928,876.75

If the quotient is a whole number, then 4 and 76,928,876.75 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:

1 307,715,507
-1 307,715,507
Keep dividing by the next highest number until you cannot divide anymore.

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

11119792098691,50116,51118,637205,007354,1031,472,3233,895,13316,195,55327,974,137307,715,507
-1-11-19-79-209-869-1,501-16,511-18,637-205,007-354,103-1,472,323-3,895,133-16,195,553-27,974,137-307,715,507

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