Q: What are the factor combinations of the number 130,311,355?

 A:
Positive:   1 x 1303113555 x 2606227129 x 4493495145 x 898699499 x 2611451801 x 723552495 x 522299005 x 14471
Negative: -1 x -130311355-5 x -26062271-29 x -4493495-145 x -898699-499 x -261145-1801 x -72355-2495 x -52229-9005 x -14471


How do I find the factor combinations of the number 130,311,355?

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 130,311,355, 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.

1 130,311,355
-1 -130,311,355

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 130,311,355.

Example:
1 x 130,311,355 = 130,311,355
and
-1 x -130,311,355 = 130,311,355
Notice both answers equal 130,311,355

With that explanation out of the way, let's continue. Next, we take the number 130,311,355 and divide it by 2:

130,311,355 ÷ 2 = 65,155,677.5

If the quotient is a whole number, then 2 and 65,155,677.5 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:

1 130,311,355
-1 -130,311,355

Now, we try dividing 130,311,355 by 3:

130,311,355 ÷ 3 = 43,437,118.3333

If the quotient is a whole number, then 3 and 43,437,118.3333 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:

1 130,311,355
-1 -130,311,355

Let's try dividing by 4:

130,311,355 ÷ 4 = 32,577,838.75

If the quotient is a whole number, then 4 and 32,577,838.75 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:

1 130,311,355
-1 130,311,355
Keep dividing by the next highest number until you cannot divide anymore.

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

15291454991,8012,4959,00514,47152,22972,355261,145898,6994,493,49526,062,271130,311,355
-1-5-29-145-499-1,801-2,495-9,005-14,471-52,229-72,355-261,145-898,699-4,493,495-26,062,271-130,311,355

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