Q: What are the factor combinations of the number 325,120,055?

 A:
Positive:   1 x 3251200555 x 6502401113 x 2500923565 x 5001847271 x 11997051355 x 2399413523 x 9228517615 x 18457
Negative: -1 x -325120055-5 x -65024011-13 x -25009235-65 x -5001847-271 x -1199705-1355 x -239941-3523 x -92285-17615 x -18457


How do I find the factor combinations of the number 325,120,055?

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 325,120,055, 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.

1 325,120,055
-1 -325,120,055

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 325,120,055.

Example:
1 x 325,120,055 = 325,120,055
and
-1 x -325,120,055 = 325,120,055
Notice both answers equal 325,120,055

With that explanation out of the way, let's continue. Next, we take the number 325,120,055 and divide it by 2:

325,120,055 ÷ 2 = 162,560,027.5

If the quotient is a whole number, then 2 and 162,560,027.5 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:

1 325,120,055
-1 -325,120,055

Now, we try dividing 325,120,055 by 3:

325,120,055 ÷ 3 = 108,373,351.6667

If the quotient is a whole number, then 3 and 108,373,351.6667 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:

1 325,120,055
-1 -325,120,055

Let's try dividing by 4:

325,120,055 ÷ 4 = 81,280,013.75

If the quotient is a whole number, then 4 and 81,280,013.75 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:

1 325,120,055
-1 325,120,055
Keep dividing by the next highest number until you cannot divide anymore.

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

1513652711,3553,52317,61518,45792,285239,9411,199,7055,001,84725,009,23565,024,011325,120,055
-1-5-13-65-271-1,355-3,523-17,615-18,457-92,285-239,941-1,199,705-5,001,847-25,009,235-65,024,011-325,120,055

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