Q: What are the factor combinations of the number 8,332,723?

 A:
Positive:   1 x 83327237 x 119038967 x 124369109 x 76447163 x 51121469 x 17767763 x 109211141 x 7303
Negative: -1 x -8332723-7 x -1190389-67 x -124369-109 x -76447-163 x -51121-469 x -17767-763 x -10921-1141 x -7303


How do I find the factor combinations of the number 8,332,723?

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 8,332,723, 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 8,332,723
-1 -8,332,723

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 8,332,723.

Example:
1 x 8,332,723 = 8,332,723
and
-1 x -8,332,723 = 8,332,723
Notice both answers equal 8,332,723

With that explanation out of the way, let's continue. Next, we take the number 8,332,723 and divide it by 2:

8,332,723 ÷ 2 = 4,166,361.5

If the quotient is a whole number, then 2 and 4,166,361.5 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 8,332,723
-1 -8,332,723

Now, we try dividing 8,332,723 by 3:

8,332,723 ÷ 3 = 2,777,574.3333

If the quotient is a whole number, then 3 and 2,777,574.3333 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 8,332,723
-1 -8,332,723

Let's try dividing by 4:

8,332,723 ÷ 4 = 2,083,180.75

If the quotient is a whole number, then 4 and 2,083,180.75 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 8,332,723
-1 8,332,723
Keep dividing by the next highest number until you cannot divide anymore.

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

17671091634697631,1417,30310,92117,76751,12176,447124,3691,190,3898,332,723
-1-7-67-109-163-469-763-1,141-7,303-10,921-17,767-51,121-76,447-124,369-1,190,389-8,332,723

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