Q: What are the factor combinations of the number 324,404,021?

 A:
Positive:   1 x 32440402189 x 3644989101 x 3211921151 x 2148371239 x 13573398989 x 3608913439 x 2413915251 x 21271
Negative: -1 x -324404021-89 x -3644989-101 x -3211921-151 x -2148371-239 x -1357339-8989 x -36089-13439 x -24139-15251 x -21271


How do I find the factor combinations of the number 324,404,021?

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 324,404,021, 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.

1 324,404,021
-1 -324,404,021

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 324,404,021.

Example:
1 x 324,404,021 = 324,404,021
and
-1 x -324,404,021 = 324,404,021
Notice both answers equal 324,404,021

With that explanation out of the way, let's continue. Next, we take the number 324,404,021 and divide it by 2:

324,404,021 ÷ 2 = 162,202,010.5

If the quotient is a whole number, then 2 and 162,202,010.5 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:

1 324,404,021
-1 -324,404,021

Now, we try dividing 324,404,021 by 3:

324,404,021 ÷ 3 = 108,134,673.6667

If the quotient is a whole number, then 3 and 108,134,673.6667 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:

1 324,404,021
-1 -324,404,021

Let's try dividing by 4:

324,404,021 ÷ 4 = 81,101,005.25

If the quotient is a whole number, then 4 and 81,101,005.25 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:

1 324,404,021
-1 324,404,021
Keep dividing by the next highest number until you cannot divide anymore.

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

1891011512398,98913,43915,25121,27124,13936,0891,357,3392,148,3713,211,9213,644,989324,404,021
-1-89-101-151-239-8,989-13,439-15,251-21,271-24,139-36,089-1,357,339-2,148,371-3,211,921-3,644,989-324,404,021

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