Q: What are the factor combinations of the number 324,033,131?

 A:
Positive:   1 x 32403313123 x 14088397149 x 2174719529 x 6125393427 x 945534111 x 78821
Negative: -1 x -324033131-23 x -14088397-149 x -2174719-529 x -612539-3427 x -94553-4111 x -78821


How do I find the factor combinations of the number 324,033,131?

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 324,033,131, 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.

1 324,033,131
-1 -324,033,131

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 324,033,131.

Example:
1 x 324,033,131 = 324,033,131
and
-1 x -324,033,131 = 324,033,131
Notice both answers equal 324,033,131

With that explanation out of the way, let's continue. Next, we take the number 324,033,131 and divide it by 2:

324,033,131 ÷ 2 = 162,016,565.5

If the quotient is a whole number, then 2 and 162,016,565.5 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:

1 324,033,131
-1 -324,033,131

Now, we try dividing 324,033,131 by 3:

324,033,131 ÷ 3 = 108,011,043.6667

If the quotient is a whole number, then 3 and 108,011,043.6667 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:

1 324,033,131
-1 -324,033,131

Let's try dividing by 4:

324,033,131 ÷ 4 = 81,008,282.75

If the quotient is a whole number, then 4 and 81,008,282.75 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:

1 324,033,131
-1 324,033,131
Keep dividing by the next highest number until you cannot divide anymore.

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

1231495293,4274,11178,82194,553612,5392,174,71914,088,397324,033,131
-1-23-149-529-3,427-4,111-78,821-94,553-612,539-2,174,719-14,088,397-324,033,131

More Examples

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