Q: What are the factor combinations of the number 8,979,859?

 A:
Positive:   1 x 89798597 x 128283717 x 52822759 x 152201119 x 75461413 x 217431003 x 89531279 x 7021
Negative: -1 x -8979859-7 x -1282837-17 x -528227-59 x -152201-119 x -75461-413 x -21743-1003 x -8953-1279 x -7021


How do I find the factor combinations of the number 8,979,859?

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 8,979,859, 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 8,979,859
-1 -8,979,859

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 8,979,859.

Example:
1 x 8,979,859 = 8,979,859
and
-1 x -8,979,859 = 8,979,859
Notice both answers equal 8,979,859

With that explanation out of the way, let's continue. Next, we take the number 8,979,859 and divide it by 2:

8,979,859 ÷ 2 = 4,489,929.5

If the quotient is a whole number, then 2 and 4,489,929.5 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 8,979,859
-1 -8,979,859

Now, we try dividing 8,979,859 by 3:

8,979,859 ÷ 3 = 2,993,286.3333

If the quotient is a whole number, then 3 and 2,993,286.3333 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 8,979,859
-1 -8,979,859

Let's try dividing by 4:

8,979,859 ÷ 4 = 2,244,964.75

If the quotient is a whole number, then 4 and 2,244,964.75 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 8,979,859
-1 8,979,859
Keep dividing by the next highest number until you cannot divide anymore.

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

1717591194131,0031,2797,0218,95321,74375,461152,201528,2271,282,8378,979,859
-1-7-17-59-119-413-1,003-1,279-7,021-8,953-21,743-75,461-152,201-528,227-1,282,837-8,979,859

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