Q: What are the factor combinations of the number 12,324,851?

 A:
Positive:   1 x 123248517 x 176069311 x 112044167 x 18395377 x 160063469 x 26279737 x 167232389 x 5159
Negative: -1 x -12324851-7 x -1760693-11 x -1120441-67 x -183953-77 x -160063-469 x -26279-737 x -16723-2389 x -5159


How do I find the factor combinations of the number 12,324,851?

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 12,324,851, 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 12,324,851
-1 -12,324,851

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 12,324,851.

Example:
1 x 12,324,851 = 12,324,851
and
-1 x -12,324,851 = 12,324,851
Notice both answers equal 12,324,851

With that explanation out of the way, let's continue. Next, we take the number 12,324,851 and divide it by 2:

12,324,851 ÷ 2 = 6,162,425.5

If the quotient is a whole number, then 2 and 6,162,425.5 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 12,324,851
-1 -12,324,851

Now, we try dividing 12,324,851 by 3:

12,324,851 ÷ 3 = 4,108,283.6667

If the quotient is a whole number, then 3 and 4,108,283.6667 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 12,324,851
-1 -12,324,851

Let's try dividing by 4:

12,324,851 ÷ 4 = 3,081,212.75

If the quotient is a whole number, then 4 and 3,081,212.75 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 12,324,851
-1 12,324,851
Keep dividing by the next highest number until you cannot divide anymore.

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

171167774697372,3895,15916,72326,279160,063183,9531,120,4411,760,69312,324,851
-1-7-11-67-77-469-737-2,389-5,159-16,723-26,279-160,063-183,953-1,120,441-1,760,693-12,324,851

More Examples

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