Q: What are the factor combinations of the number 12,322,013?

 A:
Positive:   1 x 1232201311 x 112018319 x 64852729 x 424897107 x 115159209 x 58957319 x 38627361 x 34133551 x 223631177 x 104692033 x 60613103 x 3971
Negative: -1 x -12322013-11 x -1120183-19 x -648527-29 x -424897-107 x -115159-209 x -58957-319 x -38627-361 x -34133-551 x -22363-1177 x -10469-2033 x -6061-3103 x -3971


How do I find the factor combinations of the number 12,322,013?

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 12,322,013, 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 12,322,013
-1 -12,322,013

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 12,322,013.

Example:
1 x 12,322,013 = 12,322,013
and
-1 x -12,322,013 = 12,322,013
Notice both answers equal 12,322,013

With that explanation out of the way, let's continue. Next, we take the number 12,322,013 and divide it by 2:

12,322,013 ÷ 2 = 6,161,006.5

If the quotient is a whole number, then 2 and 6,161,006.5 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 12,322,013
-1 -12,322,013

Now, we try dividing 12,322,013 by 3:

12,322,013 ÷ 3 = 4,107,337.6667

If the quotient is a whole number, then 3 and 4,107,337.6667 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 12,322,013
-1 -12,322,013

Let's try dividing by 4:

12,322,013 ÷ 4 = 3,080,503.25

If the quotient is a whole number, then 4 and 3,080,503.25 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 12,322,013
-1 12,322,013
Keep dividing by the next highest number until you cannot divide anymore.

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

11119291072093193615511,1772,0333,1033,9716,06110,46922,36334,13338,62758,957115,159424,897648,5271,120,18312,322,013
-1-11-19-29-107-209-319-361-551-1,177-2,033-3,103-3,971-6,061-10,469-22,363-34,133-38,627-58,957-115,159-424,897-648,527-1,120,183-12,322,013

More Examples

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