Q: What are the factor combinations of the number 325,022,531?

 A:
Positive:   1 x 32502253119 x 1710644947 x 6915373893 x 363967
Negative: -1 x -325022531-19 x -17106449-47 x -6915373-893 x -363967


How do I find the factor combinations of the number 325,022,531?

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 325,022,531, 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.

1 325,022,531
-1 -325,022,531

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 325,022,531.

Example:
1 x 325,022,531 = 325,022,531
and
-1 x -325,022,531 = 325,022,531
Notice both answers equal 325,022,531

With that explanation out of the way, let's continue. Next, we take the number 325,022,531 and divide it by 2:

325,022,531 ÷ 2 = 162,511,265.5

If the quotient is a whole number, then 2 and 162,511,265.5 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:

1 325,022,531
-1 -325,022,531

Now, we try dividing 325,022,531 by 3:

325,022,531 ÷ 3 = 108,340,843.6667

If the quotient is a whole number, then 3 and 108,340,843.6667 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:

1 325,022,531
-1 -325,022,531

Let's try dividing by 4:

325,022,531 ÷ 4 = 81,255,632.75

If the quotient is a whole number, then 4 and 81,255,632.75 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:

1 325,022,531
-1 325,022,531
Keep dividing by the next highest number until you cannot divide anymore.

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

11947893363,9676,915,37317,106,449325,022,531
-1-19-47-893-363,967-6,915,373-17,106,449-325,022,531

More Examples

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