Q: What are the factor combinations of the number 120,181,867?

 A:
Positive:   1 x 12018186713 x 924475947 x 2557061239 x 502853611 x 196697823 x 1460293107 x 3868110699 x 11233
Negative: -1 x -120181867-13 x -9244759-47 x -2557061-239 x -502853-611 x -196697-823 x -146029-3107 x -38681-10699 x -11233


How do I find the factor combinations of the number 120,181,867?

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 120,181,867, 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.

1 120,181,867
-1 -120,181,867

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 120,181,867.

Example:
1 x 120,181,867 = 120,181,867
and
-1 x -120,181,867 = 120,181,867
Notice both answers equal 120,181,867

With that explanation out of the way, let's continue. Next, we take the number 120,181,867 and divide it by 2:

120,181,867 ÷ 2 = 60,090,933.5

If the quotient is a whole number, then 2 and 60,090,933.5 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:

1 120,181,867
-1 -120,181,867

Now, we try dividing 120,181,867 by 3:

120,181,867 ÷ 3 = 40,060,622.3333

If the quotient is a whole number, then 3 and 40,060,622.3333 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:

1 120,181,867
-1 -120,181,867

Let's try dividing by 4:

120,181,867 ÷ 4 = 30,045,466.75

If the quotient is a whole number, then 4 and 30,045,466.75 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:

1 120,181,867
-1 120,181,867
Keep dividing by the next highest number until you cannot divide anymore.

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

113472396118233,10710,69911,23338,681146,029196,697502,8532,557,0619,244,759120,181,867
-1-13-47-239-611-823-3,107-10,699-11,233-38,681-146,029-196,697-502,853-2,557,061-9,244,759-120,181,867

More Examples

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