Q: What are the factor combinations of the number 322,704,067?

 A:
Positive:   1 x 3227040677 x 461005815563 x 580098287 x 38941
Negative: -1 x -322704067-7 x -46100581-5563 x -58009-8287 x -38941


How do I find the factor combinations of the number 322,704,067?

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 322,704,067, 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.

1 322,704,067
-1 -322,704,067

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 322,704,067.

Example:
1 x 322,704,067 = 322,704,067
and
-1 x -322,704,067 = 322,704,067
Notice both answers equal 322,704,067

With that explanation out of the way, let's continue. Next, we take the number 322,704,067 and divide it by 2:

322,704,067 ÷ 2 = 161,352,033.5

If the quotient is a whole number, then 2 and 161,352,033.5 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:

1 322,704,067
-1 -322,704,067

Now, we try dividing 322,704,067 by 3:

322,704,067 ÷ 3 = 107,568,022.3333

If the quotient is a whole number, then 3 and 107,568,022.3333 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:

1 322,704,067
-1 -322,704,067

Let's try dividing by 4:

322,704,067 ÷ 4 = 80,676,016.75

If the quotient is a whole number, then 4 and 80,676,016.75 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:

1 322,704,067
-1 322,704,067
Keep dividing by the next highest number until you cannot divide anymore.

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

175,5638,28738,94158,00946,100,581322,704,067
-1-7-5,563-8,287-38,941-58,009-46,100,581-322,704,067

More Examples

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