Q: What are the factor combinations of the number 331,204,727?

 A:
Positive:   1 x 3312047277 x 4731496117 x 19482631119 x 2783233947 x 3497412939 x 1126936629 x 4996316099 x 20573
Negative: -1 x -331204727-7 x -47314961-17 x -19482631-119 x -2783233-947 x -349741-2939 x -112693-6629 x -49963-16099 x -20573


How do I find the factor combinations of the number 331,204,727?

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 331,204,727, 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.

1 331,204,727
-1 -331,204,727

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 331,204,727.

Example:
1 x 331,204,727 = 331,204,727
and
-1 x -331,204,727 = 331,204,727
Notice both answers equal 331,204,727

With that explanation out of the way, let's continue. Next, we take the number 331,204,727 and divide it by 2:

331,204,727 ÷ 2 = 165,602,363.5

If the quotient is a whole number, then 2 and 165,602,363.5 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:

1 331,204,727
-1 -331,204,727

Now, we try dividing 331,204,727 by 3:

331,204,727 ÷ 3 = 110,401,575.6667

If the quotient is a whole number, then 3 and 110,401,575.6667 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:

1 331,204,727
-1 -331,204,727

Let's try dividing by 4:

331,204,727 ÷ 4 = 82,801,181.75

If the quotient is a whole number, then 4 and 82,801,181.75 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:

1 331,204,727
-1 331,204,727
Keep dividing by the next highest number until you cannot divide anymore.

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

17171199472,9396,62916,09920,57349,963112,693349,7412,783,23319,482,63147,314,961331,204,727
-1-7-17-119-947-2,939-6,629-16,099-20,573-49,963-112,693-349,741-2,783,233-19,482,631-47,314,961-331,204,727

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