Q: What are the factor combinations of the number 8,755,489?

 A:
Positive:   1 x 875548947 x 186287107 x 818271741 x 5029
Negative: -1 x -8755489-47 x -186287-107 x -81827-1741 x -5029


How do I find the factor combinations of the number 8,755,489?

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 8,755,489, 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 8,755,489
-1 -8,755,489

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 8,755,489.

Example:
1 x 8,755,489 = 8,755,489
and
-1 x -8,755,489 = 8,755,489
Notice both answers equal 8,755,489

With that explanation out of the way, let's continue. Next, we take the number 8,755,489 and divide it by 2:

8,755,489 ÷ 2 = 4,377,744.5

If the quotient is a whole number, then 2 and 4,377,744.5 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 8,755,489
-1 -8,755,489

Now, we try dividing 8,755,489 by 3:

8,755,489 ÷ 3 = 2,918,496.3333

If the quotient is a whole number, then 3 and 2,918,496.3333 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 8,755,489
-1 -8,755,489

Let's try dividing by 4:

8,755,489 ÷ 4 = 2,188,872.25

If the quotient is a whole number, then 4 and 2,188,872.25 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 8,755,489
-1 8,755,489
Keep dividing by the next highest number until you cannot divide anymore.

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

1471071,7415,02981,827186,2878,755,489
-1-47-107-1,741-5,029-81,827-186,287-8,755,489

More Examples

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