Q: What are the factor combinations of the number 130,121,345?

 A:
Positive:   1 x 1301213455 x 2602426971 x 1832695355 x 366539359 x 3624551021 x 1274451795 x 724915105 x 25489
Negative: -1 x -130121345-5 x -26024269-71 x -1832695-355 x -366539-359 x -362455-1021 x -127445-1795 x -72491-5105 x -25489


How do I find the factor combinations of the number 130,121,345?

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 130,121,345, 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.

1 130,121,345
-1 -130,121,345

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 130,121,345.

Example:
1 x 130,121,345 = 130,121,345
and
-1 x -130,121,345 = 130,121,345
Notice both answers equal 130,121,345

With that explanation out of the way, let's continue. Next, we take the number 130,121,345 and divide it by 2:

130,121,345 ÷ 2 = 65,060,672.5

If the quotient is a whole number, then 2 and 65,060,672.5 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:

1 130,121,345
-1 -130,121,345

Now, we try dividing 130,121,345 by 3:

130,121,345 ÷ 3 = 43,373,781.6667

If the quotient is a whole number, then 3 and 43,373,781.6667 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:

1 130,121,345
-1 -130,121,345

Let's try dividing by 4:

130,121,345 ÷ 4 = 32,530,336.25

If the quotient is a whole number, then 4 and 32,530,336.25 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:

1 130,121,345
-1 130,121,345
Keep dividing by the next highest number until you cannot divide anymore.

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

15713553591,0211,7955,10525,48972,491127,445362,455366,5391,832,69526,024,269130,121,345
-1-5-71-355-359-1,021-1,795-5,105-25,489-72,491-127,445-362,455-366,539-1,832,695-26,024,269-130,121,345

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