Q: What are the factor combinations of the number 324,332,315?

 A:
Positive:   1 x 3243323155 x 6486646323 x 14101405115 x 2820281223 x 14544051115 x 2908815129 x 6323512647 x 25645
Negative: -1 x -324332315-5 x -64866463-23 x -14101405-115 x -2820281-223 x -1454405-1115 x -290881-5129 x -63235-12647 x -25645


How do I find the factor combinations of the number 324,332,315?

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 324,332,315, 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.

1 324,332,315
-1 -324,332,315

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 324,332,315.

Example:
1 x 324,332,315 = 324,332,315
and
-1 x -324,332,315 = 324,332,315
Notice both answers equal 324,332,315

With that explanation out of the way, let's continue. Next, we take the number 324,332,315 and divide it by 2:

324,332,315 ÷ 2 = 162,166,157.5

If the quotient is a whole number, then 2 and 162,166,157.5 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:

1 324,332,315
-1 -324,332,315

Now, we try dividing 324,332,315 by 3:

324,332,315 ÷ 3 = 108,110,771.6667

If the quotient is a whole number, then 3 and 108,110,771.6667 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:

1 324,332,315
-1 -324,332,315

Let's try dividing by 4:

324,332,315 ÷ 4 = 81,083,078.75

If the quotient is a whole number, then 4 and 81,083,078.75 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:

1 324,332,315
-1 324,332,315
Keep dividing by the next highest number until you cannot divide anymore.

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

15231152231,1155,12912,64725,64563,235290,8811,454,4052,820,28114,101,40564,866,463324,332,315
-1-5-23-115-223-1,115-5,129-12,647-25,645-63,235-290,881-1,454,405-2,820,281-14,101,405-64,866,463-324,332,315

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