Q: What are the factor combinations of the number 130,712,425?

 A:
Positive:   1 x 1307124255 x 2614248525 x 522849729 x 4507325145 x 901465725 x 180293841 x 1554254205 x 310856217 x 21025
Negative: -1 x -130712425-5 x -26142485-25 x -5228497-29 x -4507325-145 x -901465-725 x -180293-841 x -155425-4205 x -31085-6217 x -21025


How do I find the factor combinations of the number 130,712,425?

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 130,712,425, 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.

1 130,712,425
-1 -130,712,425

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 130,712,425.

Example:
1 x 130,712,425 = 130,712,425
and
-1 x -130,712,425 = 130,712,425
Notice both answers equal 130,712,425

With that explanation out of the way, let's continue. Next, we take the number 130,712,425 and divide it by 2:

130,712,425 ÷ 2 = 65,356,212.5

If the quotient is a whole number, then 2 and 65,356,212.5 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:

1 130,712,425
-1 -130,712,425

Now, we try dividing 130,712,425 by 3:

130,712,425 ÷ 3 = 43,570,808.3333

If the quotient is a whole number, then 3 and 43,570,808.3333 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:

1 130,712,425
-1 -130,712,425

Let's try dividing by 4:

130,712,425 ÷ 4 = 32,678,106.25

If the quotient is a whole number, then 4 and 32,678,106.25 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:

1 130,712,425
-1 130,712,425
Keep dividing by the next highest number until you cannot divide anymore.

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

1525291457258414,2056,21721,02531,085155,425180,293901,4654,507,3255,228,49726,142,485130,712,425
-1-5-25-29-145-725-841-4,205-6,217-21,025-31,085-155,425-180,293-901,465-4,507,325-5,228,497-26,142,485-130,712,425

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