Q: What are the factor combinations of the number 130,516,705?

 A:
Positive:   1 x 1305167055 x 2610334111 x 1186515555 x 2373031239 x 5460951195 x 1092192629 x 496459929 x 13145
Negative: -1 x -130516705-5 x -26103341-11 x -11865155-55 x -2373031-239 x -546095-1195 x -109219-2629 x -49645-9929 x -13145


How do I find the factor combinations of the number 130,516,705?

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 130,516,705, 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.

1 130,516,705
-1 -130,516,705

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 130,516,705.

Example:
1 x 130,516,705 = 130,516,705
and
-1 x -130,516,705 = 130,516,705
Notice both answers equal 130,516,705

With that explanation out of the way, let's continue. Next, we take the number 130,516,705 and divide it by 2:

130,516,705 ÷ 2 = 65,258,352.5

If the quotient is a whole number, then 2 and 65,258,352.5 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:

1 130,516,705
-1 -130,516,705

Now, we try dividing 130,516,705 by 3:

130,516,705 ÷ 3 = 43,505,568.3333

If the quotient is a whole number, then 3 and 43,505,568.3333 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:

1 130,516,705
-1 -130,516,705

Let's try dividing by 4:

130,516,705 ÷ 4 = 32,629,176.25

If the quotient is a whole number, then 4 and 32,629,176.25 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:

1 130,516,705
-1 130,516,705
Keep dividing by the next highest number until you cannot divide anymore.

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

1511552391,1952,6299,92913,14549,645109,219546,0952,373,03111,865,15526,103,341130,516,705
-1-5-11-55-239-1,195-2,629-9,929-13,145-49,645-109,219-546,095-2,373,031-11,865,155-26,103,341-130,516,705

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