Q: What are the factor combinations of the number 8,320,825?

 A:
Positive:   1 x 83208255 x 166416523 x 36177525 x 33283329 x 286925115 x 72355145 x 57385499 x 16675575 x 14471667 x 12475725 x 114772495 x 3335
Negative: -1 x -8320825-5 x -1664165-23 x -361775-25 x -332833-29 x -286925-115 x -72355-145 x -57385-499 x -16675-575 x -14471-667 x -12475-725 x -11477-2495 x -3335


How do I find the factor combinations of the number 8,320,825?

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 8,320,825, 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 8,320,825
-1 -8,320,825

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 8,320,825.

Example:
1 x 8,320,825 = 8,320,825
and
-1 x -8,320,825 = 8,320,825
Notice both answers equal 8,320,825

With that explanation out of the way, let's continue. Next, we take the number 8,320,825 and divide it by 2:

8,320,825 ÷ 2 = 4,160,412.5

If the quotient is a whole number, then 2 and 4,160,412.5 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 8,320,825
-1 -8,320,825

Now, we try dividing 8,320,825 by 3:

8,320,825 ÷ 3 = 2,773,608.3333

If the quotient is a whole number, then 3 and 2,773,608.3333 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 8,320,825
-1 -8,320,825

Let's try dividing by 4:

8,320,825 ÷ 4 = 2,080,206.25

If the quotient is a whole number, then 4 and 2,080,206.25 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 8,320,825
-1 8,320,825
Keep dividing by the next highest number until you cannot divide anymore.

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

152325291151454995756677252,4953,33511,47712,47514,47116,67557,38572,355286,925332,833361,7751,664,1658,320,825
-1-5-23-25-29-115-145-499-575-667-725-2,495-3,335-11,477-12,475-14,471-16,675-57,385-72,355-286,925-332,833-361,775-1,664,165-8,320,825

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