Q: What are the factor combinations of the number 331,302,239?

 A:
Positive:   1 x 33130223917 x 1948836731 x 1068716997 x 3415487527 x 6286571649 x 2009113007 x 1101776481 x 51119
Negative: -1 x -331302239-17 x -19488367-31 x -10687169-97 x -3415487-527 x -628657-1649 x -200911-3007 x -110177-6481 x -51119


How do I find the factor combinations of the number 331,302,239?

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 331,302,239, 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.

1 331,302,239
-1 -331,302,239

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 331,302,239.

Example:
1 x 331,302,239 = 331,302,239
and
-1 x -331,302,239 = 331,302,239
Notice both answers equal 331,302,239

With that explanation out of the way, let's continue. Next, we take the number 331,302,239 and divide it by 2:

331,302,239 ÷ 2 = 165,651,119.5

If the quotient is a whole number, then 2 and 165,651,119.5 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:

1 331,302,239
-1 -331,302,239

Now, we try dividing 331,302,239 by 3:

331,302,239 ÷ 3 = 110,434,079.6667

If the quotient is a whole number, then 3 and 110,434,079.6667 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:

1 331,302,239
-1 -331,302,239

Let's try dividing by 4:

331,302,239 ÷ 4 = 82,825,559.75

If the quotient is a whole number, then 4 and 82,825,559.75 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:

1 331,302,239
-1 331,302,239
Keep dividing by the next highest number until you cannot divide anymore.

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

11731975271,6493,0076,48151,119110,177200,911628,6573,415,48710,687,16919,488,367331,302,239
-1-17-31-97-527-1,649-3,007-6,481-51,119-110,177-200,911-628,657-3,415,487-10,687,169-19,488,367-331,302,239

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