Q: What are the factor combinations of the number 8,979,707?

 A:
Positive:   1 x 897970711 x 816337751 x 119571087 x 8261
Negative: -1 x -8979707-11 x -816337-751 x -11957-1087 x -8261


How do I find the factor combinations of the number 8,979,707?

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 8,979,707, 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 8,979,707
-1 -8,979,707

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 8,979,707.

Example:
1 x 8,979,707 = 8,979,707
and
-1 x -8,979,707 = 8,979,707
Notice both answers equal 8,979,707

With that explanation out of the way, let's continue. Next, we take the number 8,979,707 and divide it by 2:

8,979,707 ÷ 2 = 4,489,853.5

If the quotient is a whole number, then 2 and 4,489,853.5 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 8,979,707
-1 -8,979,707

Now, we try dividing 8,979,707 by 3:

8,979,707 ÷ 3 = 2,993,235.6667

If the quotient is a whole number, then 3 and 2,993,235.6667 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 8,979,707
-1 -8,979,707

Let's try dividing by 4:

8,979,707 ÷ 4 = 2,244,926.75

If the quotient is a whole number, then 4 and 2,244,926.75 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 8,979,707
-1 8,979,707
Keep dividing by the next highest number until you cannot divide anymore.

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

1117511,0878,26111,957816,3378,979,707
-1-11-751-1,087-8,261-11,957-816,337-8,979,707

More Examples

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