Q: What are the factor combinations of the number 108,521,863?

 A:
Positive:   1 x 10852186317 x 638363919 x 5711677269 x 403427323 x 3359811249 x 868874573 x 237315111 x 21233
Negative: -1 x -108521863-17 x -6383639-19 x -5711677-269 x -403427-323 x -335981-1249 x -86887-4573 x -23731-5111 x -21233


How do I find the factor combinations of the number 108,521,863?

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 108,521,863, 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.

1 108,521,863
-1 -108,521,863

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 108,521,863.

Example:
1 x 108,521,863 = 108,521,863
and
-1 x -108,521,863 = 108,521,863
Notice both answers equal 108,521,863

With that explanation out of the way, let's continue. Next, we take the number 108,521,863 and divide it by 2:

108,521,863 ÷ 2 = 54,260,931.5

If the quotient is a whole number, then 2 and 54,260,931.5 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:

1 108,521,863
-1 -108,521,863

Now, we try dividing 108,521,863 by 3:

108,521,863 ÷ 3 = 36,173,954.3333

If the quotient is a whole number, then 3 and 36,173,954.3333 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:

1 108,521,863
-1 -108,521,863

Let's try dividing by 4:

108,521,863 ÷ 4 = 27,130,465.75

If the quotient is a whole number, then 4 and 27,130,465.75 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:

1 108,521,863
-1 108,521,863
Keep dividing by the next highest number until you cannot divide anymore.

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

117192693231,2494,5735,11121,23323,73186,887335,981403,4275,711,6776,383,639108,521,863
-1-17-19-269-323-1,249-4,573-5,111-21,233-23,731-86,887-335,981-403,427-5,711,677-6,383,639-108,521,863

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