Q: What are the factor combinations of the number 331,134,335?

 A:
Positive:   1 x 3311343355 x 662268677 x 4730490523 x 1439714535 x 9460981115 x 2879429161 x 2056735805 x 411347
Negative: -1 x -331134335-5 x -66226867-7 x -47304905-23 x -14397145-35 x -9460981-115 x -2879429-161 x -2056735-805 x -411347


How do I find the factor combinations of the number 331,134,335?

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 331,134,335, 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.

1 331,134,335
-1 -331,134,335

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 331,134,335.

Example:
1 x 331,134,335 = 331,134,335
and
-1 x -331,134,335 = 331,134,335
Notice both answers equal 331,134,335

With that explanation out of the way, let's continue. Next, we take the number 331,134,335 and divide it by 2:

331,134,335 ÷ 2 = 165,567,167.5

If the quotient is a whole number, then 2 and 165,567,167.5 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:

1 331,134,335
-1 -331,134,335

Now, we try dividing 331,134,335 by 3:

331,134,335 ÷ 3 = 110,378,111.6667

If the quotient is a whole number, then 3 and 110,378,111.6667 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:

1 331,134,335
-1 -331,134,335

Let's try dividing by 4:

331,134,335 ÷ 4 = 82,783,583.75

If the quotient is a whole number, then 4 and 82,783,583.75 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:

1 331,134,335
-1 331,134,335
Keep dividing by the next highest number until you cannot divide anymore.

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

1572335115161805411,3472,056,7352,879,4299,460,98114,397,14547,304,90566,226,867331,134,335
-1-5-7-23-35-115-161-805-411,347-2,056,735-2,879,429-9,460,981-14,397,145-47,304,905-66,226,867-331,134,335

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