Q: What are the factor combinations of the number 117,042,725?

 A:
Positive:   1 x 1170427255 x 2340854525 x 468170959 x 198377573 x 1603325295 x 396755365 x 3206651087 x 1076751475 x 793511825 x 641334307 x 271755435 x 21535
Negative: -1 x -117042725-5 x -23408545-25 x -4681709-59 x -1983775-73 x -1603325-295 x -396755-365 x -320665-1087 x -107675-1475 x -79351-1825 x -64133-4307 x -27175-5435 x -21535


How do I find the factor combinations of the number 117,042,725?

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 117,042,725, 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.

1 117,042,725
-1 -117,042,725

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 117,042,725.

Example:
1 x 117,042,725 = 117,042,725
and
-1 x -117,042,725 = 117,042,725
Notice both answers equal 117,042,725

With that explanation out of the way, let's continue. Next, we take the number 117,042,725 and divide it by 2:

117,042,725 ÷ 2 = 58,521,362.5

If the quotient is a whole number, then 2 and 58,521,362.5 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:

1 117,042,725
-1 -117,042,725

Now, we try dividing 117,042,725 by 3:

117,042,725 ÷ 3 = 39,014,241.6667

If the quotient is a whole number, then 3 and 39,014,241.6667 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:

1 117,042,725
-1 -117,042,725

Let's try dividing by 4:

117,042,725 ÷ 4 = 29,260,681.25

If the quotient is a whole number, then 4 and 29,260,681.25 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:

1 117,042,725
-1 117,042,725
Keep dividing by the next highest number until you cannot divide anymore.

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

152559732953651,0871,4751,8254,3075,43521,53527,17564,13379,351107,675320,665396,7551,603,3251,983,7754,681,70923,408,545117,042,725
-1-5-25-59-73-295-365-1,087-1,475-1,825-4,307-5,435-21,535-27,175-64,133-79,351-107,675-320,665-396,755-1,603,325-1,983,775-4,681,709-23,408,545-117,042,725

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