Q: What are the factor combinations of the number 8,320,529?

 A:
Positive:   1 x 83205297 x 118864767 x 124187113 x 73633157 x 52997469 x 17741791 x 105191099 x 7571
Negative: -1 x -8320529-7 x -1188647-67 x -124187-113 x -73633-157 x -52997-469 x -17741-791 x -10519-1099 x -7571


How do I find the factor combinations of the number 8,320,529?

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 8,320,529, 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 8,320,529
-1 -8,320,529

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 8,320,529.

Example:
1 x 8,320,529 = 8,320,529
and
-1 x -8,320,529 = 8,320,529
Notice both answers equal 8,320,529

With that explanation out of the way, let's continue. Next, we take the number 8,320,529 and divide it by 2:

8,320,529 ÷ 2 = 4,160,264.5

If the quotient is a whole number, then 2 and 4,160,264.5 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 8,320,529
-1 -8,320,529

Now, we try dividing 8,320,529 by 3:

8,320,529 ÷ 3 = 2,773,509.6667

If the quotient is a whole number, then 3 and 2,773,509.6667 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 8,320,529
-1 -8,320,529

Let's try dividing by 4:

8,320,529 ÷ 4 = 2,080,132.25

If the quotient is a whole number, then 4 and 2,080,132.25 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 8,320,529
-1 8,320,529
Keep dividing by the next highest number until you cannot divide anymore.

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

17671131574697911,0997,57110,51917,74152,99773,633124,1871,188,6478,320,529
-1-7-67-113-157-469-791-1,099-7,571-10,519-17,741-52,997-73,633-124,187-1,188,647-8,320,529

More Examples

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