Q: What are the factor combinations of the number 323,610,031?

 A:
Positive:   1 x 323610031257 x 1259183673 x 4808471871 x 172961
Negative: -1 x -323610031-257 x -1259183-673 x -480847-1871 x -172961


How do I find the factor combinations of the number 323,610,031?

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 323,610,031, 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.

1 323,610,031
-1 -323,610,031

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 323,610,031.

Example:
1 x 323,610,031 = 323,610,031
and
-1 x -323,610,031 = 323,610,031
Notice both answers equal 323,610,031

With that explanation out of the way, let's continue. Next, we take the number 323,610,031 and divide it by 2:

323,610,031 ÷ 2 = 161,805,015.5

If the quotient is a whole number, then 2 and 161,805,015.5 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:

1 323,610,031
-1 -323,610,031

Now, we try dividing 323,610,031 by 3:

323,610,031 ÷ 3 = 107,870,010.3333

If the quotient is a whole number, then 3 and 107,870,010.3333 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:

1 323,610,031
-1 -323,610,031

Let's try dividing by 4:

323,610,031 ÷ 4 = 80,902,507.75

If the quotient is a whole number, then 4 and 80,902,507.75 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:

1 323,610,031
-1 323,610,031
Keep dividing by the next highest number until you cannot divide anymore.

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

12576731,871172,961480,8471,259,183323,610,031
-1-257-673-1,871-172,961-480,847-1,259,183-323,610,031

More Examples

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