Q: What are the factor combinations of the number 324,814,451?

 A:
Positive:   1 x 32481445113 x 24985727169 x 1921979367 x 8850534771 x 680815237 x 62023
Negative: -1 x -324814451-13 x -24985727-169 x -1921979-367 x -885053-4771 x -68081-5237 x -62023


How do I find the factor combinations of the number 324,814,451?

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 324,814,451, 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.

1 324,814,451
-1 -324,814,451

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 324,814,451.

Example:
1 x 324,814,451 = 324,814,451
and
-1 x -324,814,451 = 324,814,451
Notice both answers equal 324,814,451

With that explanation out of the way, let's continue. Next, we take the number 324,814,451 and divide it by 2:

324,814,451 ÷ 2 = 162,407,225.5

If the quotient is a whole number, then 2 and 162,407,225.5 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:

1 324,814,451
-1 -324,814,451

Now, we try dividing 324,814,451 by 3:

324,814,451 ÷ 3 = 108,271,483.6667

If the quotient is a whole number, then 3 and 108,271,483.6667 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:

1 324,814,451
-1 -324,814,451

Let's try dividing by 4:

324,814,451 ÷ 4 = 81,203,612.75

If the quotient is a whole number, then 4 and 81,203,612.75 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:

1 324,814,451
-1 324,814,451
Keep dividing by the next highest number until you cannot divide anymore.

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

1131693674,7715,23762,02368,081885,0531,921,97924,985,727324,814,451
-1-13-169-367-4,771-5,237-62,023-68,081-885,053-1,921,979-24,985,727-324,814,451

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