Q: What are the factor combinations of the number 323,024,023?

 A:
Positive:   1 x 3230240237 x 4614628937 x 873037949 x 6592327259 x 1247197343 x 9417611813 x 17817112691 x 25453
Negative: -1 x -323024023-7 x -46146289-37 x -8730379-49 x -6592327-259 x -1247197-343 x -941761-1813 x -178171-12691 x -25453


How do I find the factor combinations of the number 323,024,023?

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 323,024,023, 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.

1 323,024,023
-1 -323,024,023

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 323,024,023.

Example:
1 x 323,024,023 = 323,024,023
and
-1 x -323,024,023 = 323,024,023
Notice both answers equal 323,024,023

With that explanation out of the way, let's continue. Next, we take the number 323,024,023 and divide it by 2:

323,024,023 ÷ 2 = 161,512,011.5

If the quotient is a whole number, then 2 and 161,512,011.5 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:

1 323,024,023
-1 -323,024,023

Now, we try dividing 323,024,023 by 3:

323,024,023 ÷ 3 = 107,674,674.3333

If the quotient is a whole number, then 3 and 107,674,674.3333 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:

1 323,024,023
-1 -323,024,023

Let's try dividing by 4:

323,024,023 ÷ 4 = 80,756,005.75

If the quotient is a whole number, then 4 and 80,756,005.75 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:

1 323,024,023
-1 323,024,023
Keep dividing by the next highest number until you cannot divide anymore.

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

1737492593431,81312,69125,453178,171941,7611,247,1976,592,3278,730,37946,146,289323,024,023
-1-7-37-49-259-343-1,813-12,691-25,453-178,171-941,761-1,247,197-6,592,327-8,730,379-46,146,289-323,024,023

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