Q: What are the factor combinations of the number 325,016,783?

 A:
Positive:   1 x 3250167837 x 4643096913 x 2500129191 x 3571613569 x 5712073983 x 816016277 x 517797397 x 43939
Negative: -1 x -325016783-7 x -46430969-13 x -25001291-91 x -3571613-569 x -571207-3983 x -81601-6277 x -51779-7397 x -43939


How do I find the factor combinations of the number 325,016,783?

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 325,016,783, 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.

1 325,016,783
-1 -325,016,783

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 325,016,783.

Example:
1 x 325,016,783 = 325,016,783
and
-1 x -325,016,783 = 325,016,783
Notice both answers equal 325,016,783

With that explanation out of the way, let's continue. Next, we take the number 325,016,783 and divide it by 2:

325,016,783 ÷ 2 = 162,508,391.5

If the quotient is a whole number, then 2 and 162,508,391.5 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:

1 325,016,783
-1 -325,016,783

Now, we try dividing 325,016,783 by 3:

325,016,783 ÷ 3 = 108,338,927.6667

If the quotient is a whole number, then 3 and 108,338,927.6667 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:

1 325,016,783
-1 -325,016,783

Let's try dividing by 4:

325,016,783 ÷ 4 = 81,254,195.75

If the quotient is a whole number, then 4 and 81,254,195.75 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:

1 325,016,783
-1 325,016,783
Keep dividing by the next highest number until you cannot divide anymore.

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

1713915693,9836,2777,39743,93951,77981,601571,2073,571,61325,001,29146,430,969325,016,783
-1-7-13-91-569-3,983-6,277-7,397-43,939-51,779-81,601-571,207-3,571,613-25,001,291-46,430,969-325,016,783

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