Q: What are the factor combinations of the number 331,470,709?

 A:
Positive:   1 x 33147070917 x 1949827783 x 3993623347 x 955247677 x 4896171411 x 2349195899 x 5619111509 x 28801
Negative: -1 x -331470709-17 x -19498277-83 x -3993623-347 x -955247-677 x -489617-1411 x -234919-5899 x -56191-11509 x -28801


How do I find the factor combinations of the number 331,470,709?

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 331,470,709, 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.

1 331,470,709
-1 -331,470,709

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 331,470,709.

Example:
1 x 331,470,709 = 331,470,709
and
-1 x -331,470,709 = 331,470,709
Notice both answers equal 331,470,709

With that explanation out of the way, let's continue. Next, we take the number 331,470,709 and divide it by 2:

331,470,709 ÷ 2 = 165,735,354.5

If the quotient is a whole number, then 2 and 165,735,354.5 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:

1 331,470,709
-1 -331,470,709

Now, we try dividing 331,470,709 by 3:

331,470,709 ÷ 3 = 110,490,236.3333

If the quotient is a whole number, then 3 and 110,490,236.3333 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:

1 331,470,709
-1 -331,470,709

Let's try dividing by 4:

331,470,709 ÷ 4 = 82,867,677.25

If the quotient is a whole number, then 4 and 82,867,677.25 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:

1 331,470,709
-1 331,470,709
Keep dividing by the next highest number until you cannot divide anymore.

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

117833476771,4115,89911,50928,80156,191234,919489,617955,2473,993,62319,498,277331,470,709
-1-17-83-347-677-1,411-5,899-11,509-28,801-56,191-234,919-489,617-955,247-3,993,623-19,498,277-331,470,709

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