Q: What are the factor combinations of the number 118,118,839?

 A:
Positive:   1 x 11811883917 x 694816719 x 6216781323 x 365693361 x 3271991013 x 1166036137 x 192476859 x 17221
Negative: -1 x -118118839-17 x -6948167-19 x -6216781-323 x -365693-361 x -327199-1013 x -116603-6137 x -19247-6859 x -17221


How do I find the factor combinations of the number 118,118,839?

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 118,118,839, 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.

1 118,118,839
-1 -118,118,839

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 118,118,839.

Example:
1 x 118,118,839 = 118,118,839
and
-1 x -118,118,839 = 118,118,839
Notice both answers equal 118,118,839

With that explanation out of the way, let's continue. Next, we take the number 118,118,839 and divide it by 2:

118,118,839 ÷ 2 = 59,059,419.5

If the quotient is a whole number, then 2 and 59,059,419.5 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:

1 118,118,839
-1 -118,118,839

Now, we try dividing 118,118,839 by 3:

118,118,839 ÷ 3 = 39,372,946.3333

If the quotient is a whole number, then 3 and 39,372,946.3333 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:

1 118,118,839
-1 -118,118,839

Let's try dividing by 4:

118,118,839 ÷ 4 = 29,529,709.75

If the quotient is a whole number, then 4 and 29,529,709.75 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:

1 118,118,839
-1 118,118,839
Keep dividing by the next highest number until you cannot divide anymore.

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

117193233611,0136,1376,85917,22119,247116,603327,199365,6936,216,7816,948,167118,118,839
-1-17-19-323-361-1,013-6,137-6,859-17,221-19,247-116,603-327,199-365,693-6,216,781-6,948,167-118,118,839

More Examples

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