Q: What are the factor combinations of the number 132,033,317?

 A:
Positive:   1 x 13203331713 x 1015640923 x 574057929 x 4552873299 x 441583377 x 350221667 x 1979518671 x 15227
Negative: -1 x -132033317-13 x -10156409-23 x -5740579-29 x -4552873-299 x -441583-377 x -350221-667 x -197951-8671 x -15227


How do I find the factor combinations of the number 132,033,317?

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 132,033,317, 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.

1 132,033,317
-1 -132,033,317

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 132,033,317.

Example:
1 x 132,033,317 = 132,033,317
and
-1 x -132,033,317 = 132,033,317
Notice both answers equal 132,033,317

With that explanation out of the way, let's continue. Next, we take the number 132,033,317 and divide it by 2:

132,033,317 ÷ 2 = 66,016,658.5

If the quotient is a whole number, then 2 and 66,016,658.5 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:

1 132,033,317
-1 -132,033,317

Now, we try dividing 132,033,317 by 3:

132,033,317 ÷ 3 = 44,011,105.6667

If the quotient is a whole number, then 3 and 44,011,105.6667 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:

1 132,033,317
-1 -132,033,317

Let's try dividing by 4:

132,033,317 ÷ 4 = 33,008,329.25

If the quotient is a whole number, then 4 and 33,008,329.25 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:

1 132,033,317
-1 132,033,317
Keep dividing by the next highest number until you cannot divide anymore.

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

11323292993776678,67115,227197,951350,221441,5834,552,8735,740,57910,156,409132,033,317
-1-13-23-29-299-377-667-8,671-15,227-197,951-350,221-441,583-4,552,873-5,740,579-10,156,409-132,033,317

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