Q: What are the factor combinations of the number 331,105,415?

 A:
Positive:   1 x 3311054155 x 6622108337 x 8948795185 x 1789759383 x 8645051915 x 1729014673 x 7085514171 x 23365
Negative: -1 x -331105415-5 x -66221083-37 x -8948795-185 x -1789759-383 x -864505-1915 x -172901-4673 x -70855-14171 x -23365


How do I find the factor combinations of the number 331,105,415?

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 331,105,415, 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.

1 331,105,415
-1 -331,105,415

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 331,105,415.

Example:
1 x 331,105,415 = 331,105,415
and
-1 x -331,105,415 = 331,105,415
Notice both answers equal 331,105,415

With that explanation out of the way, let's continue. Next, we take the number 331,105,415 and divide it by 2:

331,105,415 ÷ 2 = 165,552,707.5

If the quotient is a whole number, then 2 and 165,552,707.5 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:

1 331,105,415
-1 -331,105,415

Now, we try dividing 331,105,415 by 3:

331,105,415 ÷ 3 = 110,368,471.6667

If the quotient is a whole number, then 3 and 110,368,471.6667 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:

1 331,105,415
-1 -331,105,415

Let's try dividing by 4:

331,105,415 ÷ 4 = 82,776,353.75

If the quotient is a whole number, then 4 and 82,776,353.75 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:

1 331,105,415
-1 331,105,415
Keep dividing by the next highest number until you cannot divide anymore.

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

15371853831,9154,67314,17123,36570,855172,901864,5051,789,7598,948,79566,221,083331,105,415
-1-5-37-185-383-1,915-4,673-14,171-23,365-70,855-172,901-864,505-1,789,759-8,948,795-66,221,083-331,105,415

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