Q: What are the factor combinations of the number 130,231,199?

 A:
Positive:   1 x 1302311997 x 1860445729 x 4490731203 x 641533359 x 3627611787 x 728772513 x 5182310411 x 12509
Negative: -1 x -130231199-7 x -18604457-29 x -4490731-203 x -641533-359 x -362761-1787 x -72877-2513 x -51823-10411 x -12509


How do I find the factor combinations of the number 130,231,199?

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 130,231,199, 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.

1 130,231,199
-1 -130,231,199

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 130,231,199.

Example:
1 x 130,231,199 = 130,231,199
and
-1 x -130,231,199 = 130,231,199
Notice both answers equal 130,231,199

With that explanation out of the way, let's continue. Next, we take the number 130,231,199 and divide it by 2:

130,231,199 ÷ 2 = 65,115,599.5

If the quotient is a whole number, then 2 and 65,115,599.5 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:

1 130,231,199
-1 -130,231,199

Now, we try dividing 130,231,199 by 3:

130,231,199 ÷ 3 = 43,410,399.6667

If the quotient is a whole number, then 3 and 43,410,399.6667 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:

1 130,231,199
-1 -130,231,199

Let's try dividing by 4:

130,231,199 ÷ 4 = 32,557,799.75

If the quotient is a whole number, then 4 and 32,557,799.75 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:

1 130,231,199
-1 130,231,199
Keep dividing by the next highest number until you cannot divide anymore.

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

17292033591,7872,51310,41112,50951,82372,877362,761641,5334,490,73118,604,457130,231,199
-1-7-29-203-359-1,787-2,513-10,411-12,509-51,823-72,877-362,761-641,533-4,490,731-18,604,457-130,231,199

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