Q: What are the factor combinations of the number 12,236,917?

 A:
Positive:   1 x 122369177 x 174813111 x 111244749 x 24973373 x 16762977 x 158921311 x 39347511 x 23947539 x 22703803 x 152392177 x 56213421 x 3577
Negative: -1 x -12236917-7 x -1748131-11 x -1112447-49 x -249733-73 x -167629-77 x -158921-311 x -39347-511 x -23947-539 x -22703-803 x -15239-2177 x -5621-3421 x -3577


How do I find the factor combinations of the number 12,236,917?

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 12,236,917, 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 12,236,917
-1 -12,236,917

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 12,236,917.

Example:
1 x 12,236,917 = 12,236,917
and
-1 x -12,236,917 = 12,236,917
Notice both answers equal 12,236,917

With that explanation out of the way, let's continue. Next, we take the number 12,236,917 and divide it by 2:

12,236,917 ÷ 2 = 6,118,458.5

If the quotient is a whole number, then 2 and 6,118,458.5 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 12,236,917
-1 -12,236,917

Now, we try dividing 12,236,917 by 3:

12,236,917 ÷ 3 = 4,078,972.3333

If the quotient is a whole number, then 3 and 4,078,972.3333 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 12,236,917
-1 -12,236,917

Let's try dividing by 4:

12,236,917 ÷ 4 = 3,059,229.25

If the quotient is a whole number, then 4 and 3,059,229.25 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 12,236,917
-1 12,236,917
Keep dividing by the next highest number until you cannot divide anymore.

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

17114973773115115398032,1773,4213,5775,62115,23922,70323,94739,347158,921167,629249,7331,112,4471,748,13112,236,917
-1-7-11-49-73-77-311-511-539-803-2,177-3,421-3,577-5,621-15,239-22,703-23,947-39,347-158,921-167,629-249,733-1,112,447-1,748,131-12,236,917

More Examples

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