Q: What are the factor combinations of the number 132,031,133?

 A:
Positive:   1 x 13203113313 x 1015624119 x 694900737 x 3568409247 x 534539481 x 274493703 x 1878119139 x 14447
Negative: -1 x -132031133-13 x -10156241-19 x -6949007-37 x -3568409-247 x -534539-481 x -274493-703 x -187811-9139 x -14447


How do I find the factor combinations of the number 132,031,133?

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 132,031,133, 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.

1 132,031,133
-1 -132,031,133

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 132,031,133.

Example:
1 x 132,031,133 = 132,031,133
and
-1 x -132,031,133 = 132,031,133
Notice both answers equal 132,031,133

With that explanation out of the way, let's continue. Next, we take the number 132,031,133 and divide it by 2:

132,031,133 ÷ 2 = 66,015,566.5

If the quotient is a whole number, then 2 and 66,015,566.5 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:

1 132,031,133
-1 -132,031,133

Now, we try dividing 132,031,133 by 3:

132,031,133 ÷ 3 = 44,010,377.6667

If the quotient is a whole number, then 3 and 44,010,377.6667 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:

1 132,031,133
-1 -132,031,133

Let's try dividing by 4:

132,031,133 ÷ 4 = 33,007,783.25

If the quotient is a whole number, then 4 and 33,007,783.25 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:

1 132,031,133
-1 132,031,133
Keep dividing by the next highest number until you cannot divide anymore.

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

11319372474817039,13914,447187,811274,493534,5393,568,4096,949,00710,156,241132,031,133
-1-13-19-37-247-481-703-9,139-14,447-187,811-274,493-534,539-3,568,409-6,949,007-10,156,241-132,031,133

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 132,031,133:


Ask a Question