Q: What are the factor combinations of the number 8,802,935?

 A:
Positive:   1 x 88029355 x 176058771 x 123985137 x 64255181 x 48635355 x 24797685 x 12851905 x 9727
Negative: -1 x -8802935-5 x -1760587-71 x -123985-137 x -64255-181 x -48635-355 x -24797-685 x -12851-905 x -9727


How do I find the factor combinations of the number 8,802,935?

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 8,802,935, 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 8,802,935
-1 -8,802,935

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 8,802,935.

Example:
1 x 8,802,935 = 8,802,935
and
-1 x -8,802,935 = 8,802,935
Notice both answers equal 8,802,935

With that explanation out of the way, let's continue. Next, we take the number 8,802,935 and divide it by 2:

8,802,935 ÷ 2 = 4,401,467.5

If the quotient is a whole number, then 2 and 4,401,467.5 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 8,802,935
-1 -8,802,935

Now, we try dividing 8,802,935 by 3:

8,802,935 ÷ 3 = 2,934,311.6667

If the quotient is a whole number, then 3 and 2,934,311.6667 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 8,802,935
-1 -8,802,935

Let's try dividing by 4:

8,802,935 ÷ 4 = 2,200,733.75

If the quotient is a whole number, then 4 and 2,200,733.75 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 8,802,935
-1 8,802,935
Keep dividing by the next highest number until you cannot divide anymore.

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

15711371813556859059,72712,85124,79748,63564,255123,9851,760,5878,802,935
-1-5-71-137-181-355-685-905-9,727-12,851-24,797-48,635-64,255-123,985-1,760,587-8,802,935

More Examples

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