Q: What are the factor combinations of the number 324,431,135?

 A:
Positive:   1 x 3244311355 x 648862277 x 4634730535 x 9269461
Negative: -1 x -324431135-5 x -64886227-7 x -46347305-35 x -9269461


How do I find the factor combinations of the number 324,431,135?

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 324,431,135, 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.

1 324,431,135
-1 -324,431,135

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 324,431,135.

Example:
1 x 324,431,135 = 324,431,135
and
-1 x -324,431,135 = 324,431,135
Notice both answers equal 324,431,135

With that explanation out of the way, let's continue. Next, we take the number 324,431,135 and divide it by 2:

324,431,135 ÷ 2 = 162,215,567.5

If the quotient is a whole number, then 2 and 162,215,567.5 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:

1 324,431,135
-1 -324,431,135

Now, we try dividing 324,431,135 by 3:

324,431,135 ÷ 3 = 108,143,711.6667

If the quotient is a whole number, then 3 and 108,143,711.6667 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:

1 324,431,135
-1 -324,431,135

Let's try dividing by 4:

324,431,135 ÷ 4 = 81,107,783.75

If the quotient is a whole number, then 4 and 81,107,783.75 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:

1 324,431,135
-1 324,431,135
Keep dividing by the next highest number until you cannot divide anymore.

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

157359,269,46146,347,30564,886,227324,431,135
-1-5-7-35-9,269,461-46,347,305-64,886,227-324,431,135

More Examples

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