Q: What are the factor combinations of the number 8,006,815?

 A:
Positive:   1 x 80068155 x 160136343 x 186205167 x 47945215 x 37241223 x 35905835 x 95891115 x 7181
Negative: -1 x -8006815-5 x -1601363-43 x -186205-167 x -47945-215 x -37241-223 x -35905-835 x -9589-1115 x -7181


How do I find the factor combinations of the number 8,006,815?

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 8,006,815, 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 8,006,815
-1 -8,006,815

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 8,006,815.

Example:
1 x 8,006,815 = 8,006,815
and
-1 x -8,006,815 = 8,006,815
Notice both answers equal 8,006,815

With that explanation out of the way, let's continue. Next, we take the number 8,006,815 and divide it by 2:

8,006,815 ÷ 2 = 4,003,407.5

If the quotient is a whole number, then 2 and 4,003,407.5 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 8,006,815
-1 -8,006,815

Now, we try dividing 8,006,815 by 3:

8,006,815 ÷ 3 = 2,668,938.3333

If the quotient is a whole number, then 3 and 2,668,938.3333 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 8,006,815
-1 -8,006,815

Let's try dividing by 4:

8,006,815 ÷ 4 = 2,001,703.75

If the quotient is a whole number, then 4 and 2,001,703.75 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 8,006,815
-1 8,006,815
Keep dividing by the next highest number until you cannot divide anymore.

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

15431672152238351,1157,1819,58935,90537,24147,945186,2051,601,3638,006,815
-1-5-43-167-215-223-835-1,115-7,181-9,589-35,905-37,241-47,945-186,205-1,601,363-8,006,815

More Examples

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