Q: What are the factor combinations of the number 324,504,103?

 A:
Positive:   1 x 3245041037 x 4635772911 x 2950037377 x 42143391913 x 1696312203 x 14730113391 x 2423315421 x 21043
Negative: -1 x -324504103-7 x -46357729-11 x -29500373-77 x -4214339-1913 x -169631-2203 x -147301-13391 x -24233-15421 x -21043


How do I find the factor combinations of the number 324,504,103?

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 324,504,103, 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.

1 324,504,103
-1 -324,504,103

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 324,504,103.

Example:
1 x 324,504,103 = 324,504,103
and
-1 x -324,504,103 = 324,504,103
Notice both answers equal 324,504,103

With that explanation out of the way, let's continue. Next, we take the number 324,504,103 and divide it by 2:

324,504,103 ÷ 2 = 162,252,051.5

If the quotient is a whole number, then 2 and 162,252,051.5 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:

1 324,504,103
-1 -324,504,103

Now, we try dividing 324,504,103 by 3:

324,504,103 ÷ 3 = 108,168,034.3333

If the quotient is a whole number, then 3 and 108,168,034.3333 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:

1 324,504,103
-1 -324,504,103

Let's try dividing by 4:

324,504,103 ÷ 4 = 81,126,025.75

If the quotient is a whole number, then 4 and 81,126,025.75 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:

1 324,504,103
-1 324,504,103
Keep dividing by the next highest number until you cannot divide anymore.

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

1711771,9132,20313,39115,42121,04324,233147,301169,6314,214,33929,500,37346,357,729324,504,103
-1-7-11-77-1,913-2,203-13,391-15,421-21,043-24,233-147,301-169,631-4,214,339-29,500,373-46,357,729-324,504,103

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