Q: What are the factor combinations of the number 324,054,031?

 A:
Positive:   1 x 3240540317 x 4629343353 x 6114227371 x 873461
Negative: -1 x -324054031-7 x -46293433-53 x -6114227-371 x -873461


How do I find the factor combinations of the number 324,054,031?

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 324,054,031, 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.

1 324,054,031
-1 -324,054,031

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 324,054,031.

Example:
1 x 324,054,031 = 324,054,031
and
-1 x -324,054,031 = 324,054,031
Notice both answers equal 324,054,031

With that explanation out of the way, let's continue. Next, we take the number 324,054,031 and divide it by 2:

324,054,031 ÷ 2 = 162,027,015.5

If the quotient is a whole number, then 2 and 162,027,015.5 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:

1 324,054,031
-1 -324,054,031

Now, we try dividing 324,054,031 by 3:

324,054,031 ÷ 3 = 108,018,010.3333

If the quotient is a whole number, then 3 and 108,018,010.3333 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:

1 324,054,031
-1 -324,054,031

Let's try dividing by 4:

324,054,031 ÷ 4 = 81,013,507.75

If the quotient is a whole number, then 4 and 81,013,507.75 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:

1 324,054,031
-1 324,054,031
Keep dividing by the next highest number until you cannot divide anymore.

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

1753371873,4616,114,22746,293,433324,054,031
-1-7-53-371-873,461-6,114,227-46,293,433-324,054,031

More Examples

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