Q: What are the factor combinations of the number 331,216,711?

 A:
Positive:   1 x 3312167117 x 4731667337 x 895180367 x 4943533259 x 1278829469 x 7062192479 x 13360917353 x 19087
Negative: -1 x -331216711-7 x -47316673-37 x -8951803-67 x -4943533-259 x -1278829-469 x -706219-2479 x -133609-17353 x -19087


How do I find the factor combinations of the number 331,216,711?

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 331,216,711, 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.

1 331,216,711
-1 -331,216,711

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 331,216,711.

Example:
1 x 331,216,711 = 331,216,711
and
-1 x -331,216,711 = 331,216,711
Notice both answers equal 331,216,711

With that explanation out of the way, let's continue. Next, we take the number 331,216,711 and divide it by 2:

331,216,711 ÷ 2 = 165,608,355.5

If the quotient is a whole number, then 2 and 165,608,355.5 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:

1 331,216,711
-1 -331,216,711

Now, we try dividing 331,216,711 by 3:

331,216,711 ÷ 3 = 110,405,570.3333

If the quotient is a whole number, then 3 and 110,405,570.3333 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:

1 331,216,711
-1 -331,216,711

Let's try dividing by 4:

331,216,711 ÷ 4 = 82,804,177.75

If the quotient is a whole number, then 4 and 82,804,177.75 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:

1 331,216,711
-1 331,216,711
Keep dividing by the next highest number until you cannot divide anymore.

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

1737672594692,47917,35319,087133,609706,2191,278,8294,943,5338,951,80347,316,673331,216,711
-1-7-37-67-259-469-2,479-17,353-19,087-133,609-706,219-1,278,829-4,943,533-8,951,803-47,316,673-331,216,711

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