Q: What are the factor combinations of the number 331,716,539?

 A:
Positive:   1 x 3317165397 x 4738807711 x 3015604977 x 4308007109 x 3043271121 x 2741459763 x 434753847 x 3916371199 x 2766613593 x 923238393 x 3952313189 x 25151
Negative: -1 x -331716539-7 x -47388077-11 x -30156049-77 x -4308007-109 x -3043271-121 x -2741459-763 x -434753-847 x -391637-1199 x -276661-3593 x -92323-8393 x -39523-13189 x -25151


How do I find the factor combinations of the number 331,716,539?

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 331,716,539, 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.

1 331,716,539
-1 -331,716,539

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 331,716,539.

Example:
1 x 331,716,539 = 331,716,539
and
-1 x -331,716,539 = 331,716,539
Notice both answers equal 331,716,539

With that explanation out of the way, let's continue. Next, we take the number 331,716,539 and divide it by 2:

331,716,539 ÷ 2 = 165,858,269.5

If the quotient is a whole number, then 2 and 165,858,269.5 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:

1 331,716,539
-1 -331,716,539

Now, we try dividing 331,716,539 by 3:

331,716,539 ÷ 3 = 110,572,179.6667

If the quotient is a whole number, then 3 and 110,572,179.6667 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:

1 331,716,539
-1 -331,716,539

Let's try dividing by 4:

331,716,539 ÷ 4 = 82,929,134.75

If the quotient is a whole number, then 4 and 82,929,134.75 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:

1 331,716,539
-1 331,716,539
Keep dividing by the next highest number until you cannot divide anymore.

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

1711771091217638471,1993,5938,39313,18925,15139,52392,323276,661391,637434,7532,741,4593,043,2714,308,00730,156,04947,388,077331,716,539
-1-7-11-77-109-121-763-847-1,199-3,593-8,393-13,189-25,151-39,523-92,323-276,661-391,637-434,753-2,741,459-3,043,271-4,308,007-30,156,049-47,388,077-331,716,539

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