Q: What are the factor combinations of the number 323,111,129?

 A:
Positive:   1 x 32311112911 x 2937373917 x 19006537187 x 1727867359 x 9000313949 x 818214813 x 671336103 x 52943
Negative: -1 x -323111129-11 x -29373739-17 x -19006537-187 x -1727867-359 x -900031-3949 x -81821-4813 x -67133-6103 x -52943


How do I find the factor combinations of the number 323,111,129?

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 323,111,129, 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.

1 323,111,129
-1 -323,111,129

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 323,111,129.

Example:
1 x 323,111,129 = 323,111,129
and
-1 x -323,111,129 = 323,111,129
Notice both answers equal 323,111,129

With that explanation out of the way, let's continue. Next, we take the number 323,111,129 and divide it by 2:

323,111,129 ÷ 2 = 161,555,564.5

If the quotient is a whole number, then 2 and 161,555,564.5 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:

1 323,111,129
-1 -323,111,129

Now, we try dividing 323,111,129 by 3:

323,111,129 ÷ 3 = 107,703,709.6667

If the quotient is a whole number, then 3 and 107,703,709.6667 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:

1 323,111,129
-1 -323,111,129

Let's try dividing by 4:

323,111,129 ÷ 4 = 80,777,782.25

If the quotient is a whole number, then 4 and 80,777,782.25 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:

1 323,111,129
-1 323,111,129
Keep dividing by the next highest number until you cannot divide anymore.

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

111171873593,9494,8136,10352,94367,13381,821900,0311,727,86719,006,53729,373,739323,111,129
-1-11-17-187-359-3,949-4,813-6,103-52,943-67,133-81,821-900,031-1,727,867-19,006,537-29,373,739-323,111,129

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