Q: What are the factor combinations of the number 130,315,255?

 A:
Positive:   1 x 1303152555 x 260630517 x 1861646535 x 372329347 x 277266549 x 2659495235 x 554533245 x 531899329 x 3960951645 x 792192303 x 5658511317 x 11515
Negative: -1 x -130315255-5 x -26063051-7 x -18616465-35 x -3723293-47 x -2772665-49 x -2659495-235 x -554533-245 x -531899-329 x -396095-1645 x -79219-2303 x -56585-11317 x -11515


How do I find the factor combinations of the number 130,315,255?

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 130,315,255, 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.

1 130,315,255
-1 -130,315,255

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 130,315,255.

Example:
1 x 130,315,255 = 130,315,255
and
-1 x -130,315,255 = 130,315,255
Notice both answers equal 130,315,255

With that explanation out of the way, let's continue. Next, we take the number 130,315,255 and divide it by 2:

130,315,255 ÷ 2 = 65,157,627.5

If the quotient is a whole number, then 2 and 65,157,627.5 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:

1 130,315,255
-1 -130,315,255

Now, we try dividing 130,315,255 by 3:

130,315,255 ÷ 3 = 43,438,418.3333

If the quotient is a whole number, then 3 and 43,438,418.3333 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:

1 130,315,255
-1 -130,315,255

Let's try dividing by 4:

130,315,255 ÷ 4 = 32,578,813.75

If the quotient is a whole number, then 4 and 32,578,813.75 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:

1 130,315,255
-1 130,315,255
Keep dividing by the next highest number until you cannot divide anymore.

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

1573547492352453291,6452,30311,31711,51556,58579,219396,095531,899554,5332,659,4952,772,6653,723,29318,616,46526,063,051130,315,255
-1-5-7-35-47-49-235-245-329-1,645-2,303-11,317-11,515-56,585-79,219-396,095-531,899-554,533-2,659,495-2,772,665-3,723,293-18,616,465-26,063,051-130,315,255

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