Q: What are the factor combinations of the number 323,230,235?

 A:
Positive:   1 x 3232302355 x 64646047109 x 2965415545 x 593083
Negative: -1 x -323230235-5 x -64646047-109 x -2965415-545 x -593083


How do I find the factor combinations of the number 323,230,235?

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 323,230,235, 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.

1 323,230,235
-1 -323,230,235

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 323,230,235.

Example:
1 x 323,230,235 = 323,230,235
and
-1 x -323,230,235 = 323,230,235
Notice both answers equal 323,230,235

With that explanation out of the way, let's continue. Next, we take the number 323,230,235 and divide it by 2:

323,230,235 ÷ 2 = 161,615,117.5

If the quotient is a whole number, then 2 and 161,615,117.5 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:

1 323,230,235
-1 -323,230,235

Now, we try dividing 323,230,235 by 3:

323,230,235 ÷ 3 = 107,743,411.6667

If the quotient is a whole number, then 3 and 107,743,411.6667 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:

1 323,230,235
-1 -323,230,235

Let's try dividing by 4:

323,230,235 ÷ 4 = 80,807,558.75

If the quotient is a whole number, then 4 and 80,807,558.75 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:

1 323,230,235
-1 323,230,235
Keep dividing by the next highest number until you cannot divide anymore.

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

15109545593,0832,965,41564,646,047323,230,235
-1-5-109-545-593,083-2,965,415-64,646,047-323,230,235

More Examples

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