Q: What are the factor combinations of the number 323,120,125?

 A:
Positive:   1 x 3231201255 x 6462402525 x 12924805125 x 2584961211 x 15313751055 x 3062755275 x 6125512251 x 26375
Negative: -1 x -323120125-5 x -64624025-25 x -12924805-125 x -2584961-211 x -1531375-1055 x -306275-5275 x -61255-12251 x -26375


How do I find the factor combinations of the number 323,120,125?

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 323,120,125, 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.

1 323,120,125
-1 -323,120,125

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 323,120,125.

Example:
1 x 323,120,125 = 323,120,125
and
-1 x -323,120,125 = 323,120,125
Notice both answers equal 323,120,125

With that explanation out of the way, let's continue. Next, we take the number 323,120,125 and divide it by 2:

323,120,125 ÷ 2 = 161,560,062.5

If the quotient is a whole number, then 2 and 161,560,062.5 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:

1 323,120,125
-1 -323,120,125

Now, we try dividing 323,120,125 by 3:

323,120,125 ÷ 3 = 107,706,708.3333

If the quotient is a whole number, then 3 and 107,706,708.3333 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:

1 323,120,125
-1 -323,120,125

Let's try dividing by 4:

323,120,125 ÷ 4 = 80,780,031.25

If the quotient is a whole number, then 4 and 80,780,031.25 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:

1 323,120,125
-1 323,120,125
Keep dividing by the next highest number until you cannot divide anymore.

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

15251252111,0555,27512,25126,37561,255306,2751,531,3752,584,96112,924,80564,624,025323,120,125
-1-5-25-125-211-1,055-5,275-12,251-26,375-61,255-306,275-1,531,375-2,584,961-12,924,805-64,624,025-323,120,125

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