Q: What are the factor combinations of the number 324,420,343?

 A:
Positive:   1 x 32442034313 x 24955411169 x 1919647
Negative: -1 x -324420343-13 x -24955411-169 x -1919647


How do I find the factor combinations of the number 324,420,343?

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 324,420,343, 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.

1 324,420,343
-1 -324,420,343

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 324,420,343.

Example:
1 x 324,420,343 = 324,420,343
and
-1 x -324,420,343 = 324,420,343
Notice both answers equal 324,420,343

With that explanation out of the way, let's continue. Next, we take the number 324,420,343 and divide it by 2:

324,420,343 ÷ 2 = 162,210,171.5

If the quotient is a whole number, then 2 and 162,210,171.5 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:

1 324,420,343
-1 -324,420,343

Now, we try dividing 324,420,343 by 3:

324,420,343 ÷ 3 = 108,140,114.3333

If the quotient is a whole number, then 3 and 108,140,114.3333 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:

1 324,420,343
-1 -324,420,343

Let's try dividing by 4:

324,420,343 ÷ 4 = 81,105,085.75

If the quotient is a whole number, then 4 and 81,105,085.75 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:

1 324,420,343
-1 324,420,343
Keep dividing by the next highest number until you cannot divide anymore.

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

1131691,919,64724,955,411324,420,343
-1-13-169-1,919,647-24,955,411-324,420,343

More Examples

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