Q: What are the factor combinations of the number 12,179,497?

 A:
Positive:   1 x 1217949711 x 110722717 x 71644131 x 392887121 x 100657187 x 65131191 x 63767341 x 35717527 x 231112057 x 59212101 x 57973247 x 3751
Negative: -1 x -12179497-11 x -1107227-17 x -716441-31 x -392887-121 x -100657-187 x -65131-191 x -63767-341 x -35717-527 x -23111-2057 x -5921-2101 x -5797-3247 x -3751


How do I find the factor combinations of the number 12,179,497?

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 12,179,497, 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 12,179,497
-1 -12,179,497

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 12,179,497.

Example:
1 x 12,179,497 = 12,179,497
and
-1 x -12,179,497 = 12,179,497
Notice both answers equal 12,179,497

With that explanation out of the way, let's continue. Next, we take the number 12,179,497 and divide it by 2:

12,179,497 ÷ 2 = 6,089,748.5

If the quotient is a whole number, then 2 and 6,089,748.5 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 12,179,497
-1 -12,179,497

Now, we try dividing 12,179,497 by 3:

12,179,497 ÷ 3 = 4,059,832.3333

If the quotient is a whole number, then 3 and 4,059,832.3333 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 12,179,497
-1 -12,179,497

Let's try dividing by 4:

12,179,497 ÷ 4 = 3,044,874.25

If the quotient is a whole number, then 4 and 3,044,874.25 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 12,179,497
-1 12,179,497
Keep dividing by the next highest number until you cannot divide anymore.

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

11117311211871913415272,0572,1013,2473,7515,7975,92123,11135,71763,76765,131100,657392,887716,4411,107,22712,179,497
-1-11-17-31-121-187-191-341-527-2,057-2,101-3,247-3,751-5,797-5,921-23,111-35,717-63,767-65,131-100,657-392,887-716,441-1,107,227-12,179,497

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