Q: What are the factor combinations of the number 108,550,883?

 A:
Positive:   1 x 1085508837 x 15507269263 x 4127411841 x 58963
Negative: -1 x -108550883-7 x -15507269-263 x -412741-1841 x -58963


How do I find the factor combinations of the number 108,550,883?

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 108,550,883, 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.

1 108,550,883
-1 -108,550,883

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 108,550,883.

Example:
1 x 108,550,883 = 108,550,883
and
-1 x -108,550,883 = 108,550,883
Notice both answers equal 108,550,883

With that explanation out of the way, let's continue. Next, we take the number 108,550,883 and divide it by 2:

108,550,883 ÷ 2 = 54,275,441.5

If the quotient is a whole number, then 2 and 54,275,441.5 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:

1 108,550,883
-1 -108,550,883

Now, we try dividing 108,550,883 by 3:

108,550,883 ÷ 3 = 36,183,627.6667

If the quotient is a whole number, then 3 and 36,183,627.6667 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:

1 108,550,883
-1 -108,550,883

Let's try dividing by 4:

108,550,883 ÷ 4 = 27,137,720.75

If the quotient is a whole number, then 4 and 27,137,720.75 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:

1 108,550,883
-1 108,550,883
Keep dividing by the next highest number until you cannot divide anymore.

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

172631,84158,963412,74115,507,269108,550,883
-1-7-263-1,841-58,963-412,741-15,507,269-108,550,883

More Examples

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