Q: What are the factor combinations of the number 327,731,165?

 A:
Positive:   1 x 3277311655 x 6554623343 x 7621655215 x 1524331277 x 11831451385 x 2366295503 x 5955511911 x 27515
Negative: -1 x -327731165-5 x -65546233-43 x -7621655-215 x -1524331-277 x -1183145-1385 x -236629-5503 x -59555-11911 x -27515


How do I find the factor combinations of the number 327,731,165?

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 327,731,165, 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.

1 327,731,165
-1 -327,731,165

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 327,731,165.

Example:
1 x 327,731,165 = 327,731,165
and
-1 x -327,731,165 = 327,731,165
Notice both answers equal 327,731,165

With that explanation out of the way, let's continue. Next, we take the number 327,731,165 and divide it by 2:

327,731,165 ÷ 2 = 163,865,582.5

If the quotient is a whole number, then 2 and 163,865,582.5 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:

1 327,731,165
-1 -327,731,165

Now, we try dividing 327,731,165 by 3:

327,731,165 ÷ 3 = 109,243,721.6667

If the quotient is a whole number, then 3 and 109,243,721.6667 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:

1 327,731,165
-1 -327,731,165

Let's try dividing by 4:

327,731,165 ÷ 4 = 81,932,791.25

If the quotient is a whole number, then 4 and 81,932,791.25 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:

1 327,731,165
-1 327,731,165
Keep dividing by the next highest number until you cannot divide anymore.

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

15432152771,3855,50311,91127,51559,555236,6291,183,1451,524,3317,621,65565,546,233327,731,165
-1-5-43-215-277-1,385-5,503-11,911-27,515-59,555-236,629-1,183,145-1,524,331-7,621,655-65,546,233-327,731,165

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 327,731,165:


Ask a Question