Q: What are the factor combinations of the number 232,403,399?

 A:
Positive:   1 x 232403399
Negative: -1 x -232403399


How do I find the factor combinations of the number 232,403,399?

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 232,403,399, 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.

1 232,403,399
-1 -232,403,399

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 232,403,399.

Example:
1 x 232,403,399 = 232,403,399
and
-1 x -232,403,399 = 232,403,399
Notice both answers equal 232,403,399

With that explanation out of the way, let's continue. Next, we take the number 232,403,399 and divide it by 2:

232,403,399 ÷ 2 = 116,201,699.5

If the quotient is a whole number, then 2 and 116,201,699.5 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:

1 232,403,399
-1 -232,403,399

Now, we try dividing 232,403,399 by 3:

232,403,399 ÷ 3 = 77,467,799.6667

If the quotient is a whole number, then 3 and 77,467,799.6667 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:

1 232,403,399
-1 -232,403,399

Let's try dividing by 4:

232,403,399 ÷ 4 = 58,100,849.75

If the quotient is a whole number, then 4 and 58,100,849.75 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:

1 232,403,399
-1 232,403,399
Keep dividing by the next highest number until you cannot divide anymore.

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

1232,403,399
-1-232,403,399

More Examples

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