Q: What are the factor combinations of the number 8,989,979?

 A:
Positive:   1 x 898997983 x 10831389 x 1010111217 x 7387
Negative: -1 x -8989979-83 x -108313-89 x -101011-1217 x -7387


How do I find the factor combinations of the number 8,989,979?

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 8,989,979, 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 8,989,979
-1 -8,989,979

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 8,989,979.

Example:
1 x 8,989,979 = 8,989,979
and
-1 x -8,989,979 = 8,989,979
Notice both answers equal 8,989,979

With that explanation out of the way, let's continue. Next, we take the number 8,989,979 and divide it by 2:

8,989,979 ÷ 2 = 4,494,989.5

If the quotient is a whole number, then 2 and 4,494,989.5 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 8,989,979
-1 -8,989,979

Now, we try dividing 8,989,979 by 3:

8,989,979 ÷ 3 = 2,996,659.6667

If the quotient is a whole number, then 3 and 2,996,659.6667 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 8,989,979
-1 -8,989,979

Let's try dividing by 4:

8,989,979 ÷ 4 = 2,247,494.75

If the quotient is a whole number, then 4 and 2,247,494.75 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 8,989,979
-1 8,989,979
Keep dividing by the next highest number until you cannot divide anymore.

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

183891,2177,387101,011108,3138,989,979
-1-83-89-1,217-7,387-101,011-108,313-8,989,979

More Examples

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