Q: What are the factor combinations of the number 132,111,331?

 A:
Positive:   1 x 13211133111 x 12010121433 x 3051074763 x 27737
Negative: -1 x -132111331-11 x -12010121-433 x -305107-4763 x -27737


How do I find the factor combinations of the number 132,111,331?

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 132,111,331, 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.

1 132,111,331
-1 -132,111,331

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 132,111,331.

Example:
1 x 132,111,331 = 132,111,331
and
-1 x -132,111,331 = 132,111,331
Notice both answers equal 132,111,331

With that explanation out of the way, let's continue. Next, we take the number 132,111,331 and divide it by 2:

132,111,331 ÷ 2 = 66,055,665.5

If the quotient is a whole number, then 2 and 66,055,665.5 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:

1 132,111,331
-1 -132,111,331

Now, we try dividing 132,111,331 by 3:

132,111,331 ÷ 3 = 44,037,110.3333

If the quotient is a whole number, then 3 and 44,037,110.3333 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:

1 132,111,331
-1 -132,111,331

Let's try dividing by 4:

132,111,331 ÷ 4 = 33,027,832.75

If the quotient is a whole number, then 4 and 33,027,832.75 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:

1 132,111,331
-1 132,111,331
Keep dividing by the next highest number until you cannot divide anymore.

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

1114334,76327,737305,10712,010,121132,111,331
-1-11-433-4,763-27,737-305,107-12,010,121-132,111,331

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 132,111,331:


Ask a Question