Q: What are the factor combinations of the number 323,231,125?

 A:
Positive:   1 x 3232311255 x 646462257 x 4617587525 x 1292924535 x 9235175125 x 2585849175 x 1847035875 x 369407
Negative: -1 x -323231125-5 x -64646225-7 x -46175875-25 x -12929245-35 x -9235175-125 x -2585849-175 x -1847035-875 x -369407


How do I find the factor combinations of the number 323,231,125?

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 323,231,125, 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.

1 323,231,125
-1 -323,231,125

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 323,231,125.

Example:
1 x 323,231,125 = 323,231,125
and
-1 x -323,231,125 = 323,231,125
Notice both answers equal 323,231,125

With that explanation out of the way, let's continue. Next, we take the number 323,231,125 and divide it by 2:

323,231,125 ÷ 2 = 161,615,562.5

If the quotient is a whole number, then 2 and 161,615,562.5 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:

1 323,231,125
-1 -323,231,125

Now, we try dividing 323,231,125 by 3:

323,231,125 ÷ 3 = 107,743,708.3333

If the quotient is a whole number, then 3 and 107,743,708.3333 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:

1 323,231,125
-1 -323,231,125

Let's try dividing by 4:

323,231,125 ÷ 4 = 80,807,781.25

If the quotient is a whole number, then 4 and 80,807,781.25 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:

1 323,231,125
-1 323,231,125
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535125175875369,4071,847,0352,585,8499,235,17512,929,24546,175,87564,646,225323,231,125
-1-5-7-25-35-125-175-875-369,407-1,847,035-2,585,849-9,235,175-12,929,245-46,175,875-64,646,225-323,231,125

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