Q: What are the factor combinations of the number 118,238,239?

 A:
Positive:   1 x 1182382397 x 1689117723 x 5140793161 x 734399457 x 2587271607 x 735773199 x 3696110511 x 11249
Negative: -1 x -118238239-7 x -16891177-23 x -5140793-161 x -734399-457 x -258727-1607 x -73577-3199 x -36961-10511 x -11249


How do I find the factor combinations of the number 118,238,239?

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 118,238,239, 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.

1 118,238,239
-1 -118,238,239

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 118,238,239.

Example:
1 x 118,238,239 = 118,238,239
and
-1 x -118,238,239 = 118,238,239
Notice both answers equal 118,238,239

With that explanation out of the way, let's continue. Next, we take the number 118,238,239 and divide it by 2:

118,238,239 ÷ 2 = 59,119,119.5

If the quotient is a whole number, then 2 and 59,119,119.5 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:

1 118,238,239
-1 -118,238,239

Now, we try dividing 118,238,239 by 3:

118,238,239 ÷ 3 = 39,412,746.3333

If the quotient is a whole number, then 3 and 39,412,746.3333 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:

1 118,238,239
-1 -118,238,239

Let's try dividing by 4:

118,238,239 ÷ 4 = 29,559,559.75

If the quotient is a whole number, then 4 and 29,559,559.75 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:

1 118,238,239
-1 118,238,239
Keep dividing by the next highest number until you cannot divide anymore.

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

17231614571,6073,19910,51111,24936,96173,577258,727734,3995,140,79316,891,177118,238,239
-1-7-23-161-457-1,607-3,199-10,511-11,249-36,961-73,577-258,727-734,399-5,140,793-16,891,177-118,238,239

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