Q: What are the factor combinations of the number 117,876,437?

 A:
Positive:   1 x 1178764377 x 1683949119 x 620402397 x 1215221133 x 886289679 x 1736031843 x 639599137 x 12901
Negative: -1 x -117876437-7 x -16839491-19 x -6204023-97 x -1215221-133 x -886289-679 x -173603-1843 x -63959-9137 x -12901


How do I find the factor combinations of the number 117,876,437?

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 117,876,437, 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.

1 117,876,437
-1 -117,876,437

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 117,876,437.

Example:
1 x 117,876,437 = 117,876,437
and
-1 x -117,876,437 = 117,876,437
Notice both answers equal 117,876,437

With that explanation out of the way, let's continue. Next, we take the number 117,876,437 and divide it by 2:

117,876,437 ÷ 2 = 58,938,218.5

If the quotient is a whole number, then 2 and 58,938,218.5 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:

1 117,876,437
-1 -117,876,437

Now, we try dividing 117,876,437 by 3:

117,876,437 ÷ 3 = 39,292,145.6667

If the quotient is a whole number, then 3 and 39,292,145.6667 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:

1 117,876,437
-1 -117,876,437

Let's try dividing by 4:

117,876,437 ÷ 4 = 29,469,109.25

If the quotient is a whole number, then 4 and 29,469,109.25 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:

1 117,876,437
-1 117,876,437
Keep dividing by the next highest number until you cannot divide anymore.

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

1719971336791,8439,13712,90163,959173,603886,2891,215,2216,204,02316,839,491117,876,437
-1-7-19-97-133-679-1,843-9,137-12,901-63,959-173,603-886,289-1,215,221-6,204,023-16,839,491-117,876,437

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