Q: What are the factor combinations of the number 314,725,063?

 A:
Positive:   1 x 31472506317 x 1851323919 x 1656447767 x 4697389323 x 9743811139 x 2763171273 x 24723114543 x 21641
Negative: -1 x -314725063-17 x -18513239-19 x -16564477-67 x -4697389-323 x -974381-1139 x -276317-1273 x -247231-14543 x -21641


How do I find the factor combinations of the number 314,725,063?

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 314,725,063, 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.

1 314,725,063
-1 -314,725,063

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 314,725,063.

Example:
1 x 314,725,063 = 314,725,063
and
-1 x -314,725,063 = 314,725,063
Notice both answers equal 314,725,063

With that explanation out of the way, let's continue. Next, we take the number 314,725,063 and divide it by 2:

314,725,063 ÷ 2 = 157,362,531.5

If the quotient is a whole number, then 2 and 157,362,531.5 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:

1 314,725,063
-1 -314,725,063

Now, we try dividing 314,725,063 by 3:

314,725,063 ÷ 3 = 104,908,354.3333

If the quotient is a whole number, then 3 and 104,908,354.3333 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:

1 314,725,063
-1 -314,725,063

Let's try dividing by 4:

314,725,063 ÷ 4 = 78,681,265.75

If the quotient is a whole number, then 4 and 78,681,265.75 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:

1 314,725,063
-1 314,725,063
Keep dividing by the next highest number until you cannot divide anymore.

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

11719673231,1391,27314,54321,641247,231276,317974,3814,697,38916,564,47718,513,239314,725,063
-1-17-19-67-323-1,139-1,273-14,543-21,641-247,231-276,317-974,381-4,697,389-16,564,477-18,513,239-314,725,063

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