Q: What are the factor combinations of the number 331,332,125?

 A:
Positive:   1 x 3313321255 x 6626642517 x 1949012525 x 1325328585 x 3898025125 x 2650657425 x 7796052125 x 155921
Negative: -1 x -331332125-5 x -66266425-17 x -19490125-25 x -13253285-85 x -3898025-125 x -2650657-425 x -779605-2125 x -155921


How do I find the factor combinations of the number 331,332,125?

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 331,332,125, 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.

1 331,332,125
-1 -331,332,125

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 331,332,125.

Example:
1 x 331,332,125 = 331,332,125
and
-1 x -331,332,125 = 331,332,125
Notice both answers equal 331,332,125

With that explanation out of the way, let's continue. Next, we take the number 331,332,125 and divide it by 2:

331,332,125 ÷ 2 = 165,666,062.5

If the quotient is a whole number, then 2 and 165,666,062.5 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:

1 331,332,125
-1 -331,332,125

Now, we try dividing 331,332,125 by 3:

331,332,125 ÷ 3 = 110,444,041.6667

If the quotient is a whole number, then 3 and 110,444,041.6667 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:

1 331,332,125
-1 -331,332,125

Let's try dividing by 4:

331,332,125 ÷ 4 = 82,833,031.25

If the quotient is a whole number, then 4 and 82,833,031.25 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:

1 331,332,125
-1 331,332,125
Keep dividing by the next highest number until you cannot divide anymore.

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

151725851254252,125155,921779,6052,650,6573,898,02513,253,28519,490,12566,266,425331,332,125
-1-5-17-25-85-125-425-2,125-155,921-779,605-2,650,657-3,898,025-13,253,285-19,490,125-66,266,425-331,332,125

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 331,332,125:


Ask a Question