Q: What are the factor combinations of the number 331,470,713?

 A:
Positive:   1 x 3314707137 x 4735295919 x 17445827133 x 24922611021 x 3246532441 x 1357937147 x 4637917087 x 19399
Negative: -1 x -331470713-7 x -47352959-19 x -17445827-133 x -2492261-1021 x -324653-2441 x -135793-7147 x -46379-17087 x -19399


How do I find the factor combinations of the number 331,470,713?

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 331,470,713, 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.

1 331,470,713
-1 -331,470,713

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 331,470,713.

Example:
1 x 331,470,713 = 331,470,713
and
-1 x -331,470,713 = 331,470,713
Notice both answers equal 331,470,713

With that explanation out of the way, let's continue. Next, we take the number 331,470,713 and divide it by 2:

331,470,713 ÷ 2 = 165,735,356.5

If the quotient is a whole number, then 2 and 165,735,356.5 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:

1 331,470,713
-1 -331,470,713

Now, we try dividing 331,470,713 by 3:

331,470,713 ÷ 3 = 110,490,237.6667

If the quotient is a whole number, then 3 and 110,490,237.6667 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:

1 331,470,713
-1 -331,470,713

Let's try dividing by 4:

331,470,713 ÷ 4 = 82,867,678.25

If the quotient is a whole number, then 4 and 82,867,678.25 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:

1 331,470,713
-1 331,470,713
Keep dividing by the next highest number until you cannot divide anymore.

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

17191331,0212,4417,14717,08719,39946,379135,793324,6532,492,26117,445,82747,352,959331,470,713
-1-7-19-133-1,021-2,441-7,147-17,087-19,399-46,379-135,793-324,653-2,492,261-17,445,827-47,352,959-331,470,713

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