Q: What are the factor combinations of the number 323,052,421?

 A:
Positive:   1 x 32305242119 x 1700275943 x 7512847199 x 1623379817 x 3954131987 x 1625833781 x 854418557 x 37753
Negative: -1 x -323052421-19 x -17002759-43 x -7512847-199 x -1623379-817 x -395413-1987 x -162583-3781 x -85441-8557 x -37753


How do I find the factor combinations of the number 323,052,421?

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 323,052,421, 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.

1 323,052,421
-1 -323,052,421

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 323,052,421.

Example:
1 x 323,052,421 = 323,052,421
and
-1 x -323,052,421 = 323,052,421
Notice both answers equal 323,052,421

With that explanation out of the way, let's continue. Next, we take the number 323,052,421 and divide it by 2:

323,052,421 ÷ 2 = 161,526,210.5

If the quotient is a whole number, then 2 and 161,526,210.5 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:

1 323,052,421
-1 -323,052,421

Now, we try dividing 323,052,421 by 3:

323,052,421 ÷ 3 = 107,684,140.3333

If the quotient is a whole number, then 3 and 107,684,140.3333 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:

1 323,052,421
-1 -323,052,421

Let's try dividing by 4:

323,052,421 ÷ 4 = 80,763,105.25

If the quotient is a whole number, then 4 and 80,763,105.25 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:

1 323,052,421
-1 323,052,421
Keep dividing by the next highest number until you cannot divide anymore.

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

119431998171,9873,7818,55737,75385,441162,583395,4131,623,3797,512,84717,002,759323,052,421
-1-19-43-199-817-1,987-3,781-8,557-37,753-85,441-162,583-395,413-1,623,379-7,512,847-17,002,759-323,052,421

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