Q: What are the factor combinations of the number 324,341,423?

 A:
Positive:   1 x 3243414237 x 4633448923 x 1410180129 x 11184187161 x 2014543203 x 1597741667 x 4862694669 x 69467
Negative: -1 x -324341423-7 x -46334489-23 x -14101801-29 x -11184187-161 x -2014543-203 x -1597741-667 x -486269-4669 x -69467


How do I find the factor combinations of the number 324,341,423?

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 324,341,423, 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.

1 324,341,423
-1 -324,341,423

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 324,341,423.

Example:
1 x 324,341,423 = 324,341,423
and
-1 x -324,341,423 = 324,341,423
Notice both answers equal 324,341,423

With that explanation out of the way, let's continue. Next, we take the number 324,341,423 and divide it by 2:

324,341,423 ÷ 2 = 162,170,711.5

If the quotient is a whole number, then 2 and 162,170,711.5 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:

1 324,341,423
-1 -324,341,423

Now, we try dividing 324,341,423 by 3:

324,341,423 ÷ 3 = 108,113,807.6667

If the quotient is a whole number, then 3 and 108,113,807.6667 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:

1 324,341,423
-1 -324,341,423

Let's try dividing by 4:

324,341,423 ÷ 4 = 81,085,355.75

If the quotient is a whole number, then 4 and 81,085,355.75 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:

1 324,341,423
-1 324,341,423
Keep dividing by the next highest number until you cannot divide anymore.

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

1723291612036674,66969,467486,2691,597,7412,014,54311,184,18714,101,80146,334,489324,341,423
-1-7-23-29-161-203-667-4,669-69,467-486,269-1,597,741-2,014,543-11,184,187-14,101,801-46,334,489-324,341,423

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