Q: What are the factor combinations of the number 331,204,735?

 A:
Positive:   1 x 3312047355 x 6624094779 x 4192465395 x 838493463 x 7153451811 x 1828852315 x 1430699055 x 36577
Negative: -1 x -331204735-5 x -66240947-79 x -4192465-395 x -838493-463 x -715345-1811 x -182885-2315 x -143069-9055 x -36577


How do I find the factor combinations of the number 331,204,735?

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 331,204,735, 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.

1 331,204,735
-1 -331,204,735

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 331,204,735.

Example:
1 x 331,204,735 = 331,204,735
and
-1 x -331,204,735 = 331,204,735
Notice both answers equal 331,204,735

With that explanation out of the way, let's continue. Next, we take the number 331,204,735 and divide it by 2:

331,204,735 ÷ 2 = 165,602,367.5

If the quotient is a whole number, then 2 and 165,602,367.5 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:

1 331,204,735
-1 -331,204,735

Now, we try dividing 331,204,735 by 3:

331,204,735 ÷ 3 = 110,401,578.3333

If the quotient is a whole number, then 3 and 110,401,578.3333 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:

1 331,204,735
-1 -331,204,735

Let's try dividing by 4:

331,204,735 ÷ 4 = 82,801,183.75

If the quotient is a whole number, then 4 and 82,801,183.75 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:

1 331,204,735
-1 331,204,735
Keep dividing by the next highest number until you cannot divide anymore.

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

15793954631,8112,3159,05536,577143,069182,885715,345838,4934,192,46566,240,947331,204,735
-1-5-79-395-463-1,811-2,315-9,055-36,577-143,069-182,885-715,345-838,493-4,192,465-66,240,947-331,204,735

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