Q: What are the factor combinations of the number 12,397,801?

 A:
Positive:   1 x 1239780113 x 95367747 x 263783103 x 120367197 x 62933611 x 202911339 x 92592561 x 4841
Negative: -1 x -12397801-13 x -953677-47 x -263783-103 x -120367-197 x -62933-611 x -20291-1339 x -9259-2561 x -4841


How do I find the factor combinations of the number 12,397,801?

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 12,397,801, 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 12,397,801
-1 -12,397,801

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 12,397,801.

Example:
1 x 12,397,801 = 12,397,801
and
-1 x -12,397,801 = 12,397,801
Notice both answers equal 12,397,801

With that explanation out of the way, let's continue. Next, we take the number 12,397,801 and divide it by 2:

12,397,801 ÷ 2 = 6,198,900.5

If the quotient is a whole number, then 2 and 6,198,900.5 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 12,397,801
-1 -12,397,801

Now, we try dividing 12,397,801 by 3:

12,397,801 ÷ 3 = 4,132,600.3333

If the quotient is a whole number, then 3 and 4,132,600.3333 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 12,397,801
-1 -12,397,801

Let's try dividing by 4:

12,397,801 ÷ 4 = 3,099,450.25

If the quotient is a whole number, then 4 and 3,099,450.25 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 12,397,801
-1 12,397,801
Keep dividing by the next highest number until you cannot divide anymore.

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

113471031976111,3392,5614,8419,25920,29162,933120,367263,783953,67712,397,801
-1-13-47-103-197-611-1,339-2,561-4,841-9,259-20,291-62,933-120,367-263,783-953,677-12,397,801

More Examples

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