Q: What are the factor combinations of the number 130,025,785?

 A:
Positive:   1 x 1300257855 x 2600515723 x 5653295115 x 1130659353 x 3683451765 x 736693203 x 405958119 x 16015
Negative: -1 x -130025785-5 x -26005157-23 x -5653295-115 x -1130659-353 x -368345-1765 x -73669-3203 x -40595-8119 x -16015


How do I find the factor combinations of the number 130,025,785?

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 130,025,785, 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.

1 130,025,785
-1 -130,025,785

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 130,025,785.

Example:
1 x 130,025,785 = 130,025,785
and
-1 x -130,025,785 = 130,025,785
Notice both answers equal 130,025,785

With that explanation out of the way, let's continue. Next, we take the number 130,025,785 and divide it by 2:

130,025,785 ÷ 2 = 65,012,892.5

If the quotient is a whole number, then 2 and 65,012,892.5 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:

1 130,025,785
-1 -130,025,785

Now, we try dividing 130,025,785 by 3:

130,025,785 ÷ 3 = 43,341,928.3333

If the quotient is a whole number, then 3 and 43,341,928.3333 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:

1 130,025,785
-1 -130,025,785

Let's try dividing by 4:

130,025,785 ÷ 4 = 32,506,446.25

If the quotient is a whole number, then 4 and 32,506,446.25 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:

1 130,025,785
-1 130,025,785
Keep dividing by the next highest number until you cannot divide anymore.

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

15231153531,7653,2038,11916,01540,59573,669368,3451,130,6595,653,29526,005,157130,025,785
-1-5-23-115-353-1,765-3,203-8,119-16,015-40,595-73,669-368,345-1,130,659-5,653,295-26,005,157-130,025,785

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