Q: What are the factor combinations of the number 8,006,813?

 A:
Positive:   1 x 800681317 x 47098929 x 276097109 x 73457149 x 53737493 x 162411853 x 43212533 x 3161
Negative: -1 x -8006813-17 x -470989-29 x -276097-109 x -73457-149 x -53737-493 x -16241-1853 x -4321-2533 x -3161


How do I find the factor combinations of the number 8,006,813?

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 8,006,813, 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 8,006,813
-1 -8,006,813

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 8,006,813.

Example:
1 x 8,006,813 = 8,006,813
and
-1 x -8,006,813 = 8,006,813
Notice both answers equal 8,006,813

With that explanation out of the way, let's continue. Next, we take the number 8,006,813 and divide it by 2:

8,006,813 ÷ 2 = 4,003,406.5

If the quotient is a whole number, then 2 and 4,003,406.5 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 8,006,813
-1 -8,006,813

Now, we try dividing 8,006,813 by 3:

8,006,813 ÷ 3 = 2,668,937.6667

If the quotient is a whole number, then 3 and 2,668,937.6667 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 8,006,813
-1 -8,006,813

Let's try dividing by 4:

8,006,813 ÷ 4 = 2,001,703.25

If the quotient is a whole number, then 4 and 2,001,703.25 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 8,006,813
-1 8,006,813
Keep dividing by the next highest number until you cannot divide anymore.

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

117291091494931,8532,5333,1614,32116,24153,73773,457276,097470,9898,006,813
-1-17-29-109-149-493-1,853-2,533-3,161-4,321-16,241-53,737-73,457-276,097-470,989-8,006,813

More Examples

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