Q: What are the factor combinations of the number 8,002,709?

 A:
Positive:   1 x 800270911 x 72751913 x 615593143 x 55963191 x 41899293 x 273132101 x 38092483 x 3223
Negative: -1 x -8002709-11 x -727519-13 x -615593-143 x -55963-191 x -41899-293 x -27313-2101 x -3809-2483 x -3223


How do I find the factor combinations of the number 8,002,709?

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 8,002,709, 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 8,002,709
-1 -8,002,709

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 8,002,709.

Example:
1 x 8,002,709 = 8,002,709
and
-1 x -8,002,709 = 8,002,709
Notice both answers equal 8,002,709

With that explanation out of the way, let's continue. Next, we take the number 8,002,709 and divide it by 2:

8,002,709 ÷ 2 = 4,001,354.5

If the quotient is a whole number, then 2 and 4,001,354.5 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 8,002,709
-1 -8,002,709

Now, we try dividing 8,002,709 by 3:

8,002,709 ÷ 3 = 2,667,569.6667

If the quotient is a whole number, then 3 and 2,667,569.6667 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 8,002,709
-1 -8,002,709

Let's try dividing by 4:

8,002,709 ÷ 4 = 2,000,677.25

If the quotient is a whole number, then 4 and 2,000,677.25 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 8,002,709
-1 8,002,709
Keep dividing by the next highest number until you cannot divide anymore.

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

111131431912932,1012,4833,2233,80927,31341,89955,963615,593727,5198,002,709
-1-11-13-143-191-293-2,101-2,483-3,223-3,809-27,313-41,899-55,963-615,593-727,519-8,002,709

More Examples

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