Q: What are the factor combinations of the number 626,501,315?

 A:
Positive:   1 x 6265013155 x 12530026311 x 5695466555 x 11390933743 x 8432053715 x 1686418173 x 7665515331 x 40865
Negative: -1 x -626501315-5 x -125300263-11 x -56954665-55 x -11390933-743 x -843205-3715 x -168641-8173 x -76655-15331 x -40865


How do I find the factor combinations of the number 626,501,315?

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 626,501,315, 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.

1 626,501,315
-1 -626,501,315

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 626,501,315.

Example:
1 x 626,501,315 = 626,501,315
and
-1 x -626,501,315 = 626,501,315
Notice both answers equal 626,501,315

With that explanation out of the way, let's continue. Next, we take the number 626,501,315 and divide it by 2:

626,501,315 ÷ 2 = 313,250,657.5

If the quotient is a whole number, then 2 and 313,250,657.5 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:

1 626,501,315
-1 -626,501,315

Now, we try dividing 626,501,315 by 3:

626,501,315 ÷ 3 = 208,833,771.6667

If the quotient is a whole number, then 3 and 208,833,771.6667 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:

1 626,501,315
-1 -626,501,315

Let's try dividing by 4:

626,501,315 ÷ 4 = 156,625,328.75

If the quotient is a whole number, then 4 and 156,625,328.75 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:

1 626,501,315
-1 626,501,315
Keep dividing by the next highest number until you cannot divide anymore.

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

1511557433,7158,17315,33140,86576,655168,641843,20511,390,93356,954,665125,300,263626,501,315
-1-5-11-55-743-3,715-8,173-15,331-40,865-76,655-168,641-843,205-11,390,933-56,954,665-125,300,263-626,501,315

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