Q: What are the factor combinations of the number 117,163,081?

 A:
Positive:   1 x 1171630817 x 1673758323 x 5094047161 x 727721263 x 4454871841 x 636412767 x 423436049 x 19369
Negative: -1 x -117163081-7 x -16737583-23 x -5094047-161 x -727721-263 x -445487-1841 x -63641-2767 x -42343-6049 x -19369


How do I find the factor combinations of the number 117,163,081?

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 117,163,081, 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.

1 117,163,081
-1 -117,163,081

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 117,163,081.

Example:
1 x 117,163,081 = 117,163,081
and
-1 x -117,163,081 = 117,163,081
Notice both answers equal 117,163,081

With that explanation out of the way, let's continue. Next, we take the number 117,163,081 and divide it by 2:

117,163,081 ÷ 2 = 58,581,540.5

If the quotient is a whole number, then 2 and 58,581,540.5 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:

1 117,163,081
-1 -117,163,081

Now, we try dividing 117,163,081 by 3:

117,163,081 ÷ 3 = 39,054,360.3333

If the quotient is a whole number, then 3 and 39,054,360.3333 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:

1 117,163,081
-1 -117,163,081

Let's try dividing by 4:

117,163,081 ÷ 4 = 29,290,770.25

If the quotient is a whole number, then 4 and 29,290,770.25 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:

1 117,163,081
-1 117,163,081
Keep dividing by the next highest number until you cannot divide anymore.

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

17231612631,8412,7676,04919,36942,34363,641445,487727,7215,094,04716,737,583117,163,081
-1-7-23-161-263-1,841-2,767-6,049-19,369-42,343-63,641-445,487-727,721-5,094,047-16,737,583-117,163,081

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