Q: What are the factor combinations of the number 12,780,425?

 A:
Positive:   1 x 127804255 x 25560857 x 182577525 x 51121735 x 36515549 x 260825175 x 73031245 x 521651225 x 10433
Negative: -1 x -12780425-5 x -2556085-7 x -1825775-25 x -511217-35 x -365155-49 x -260825-175 x -73031-245 x -52165-1225 x -10433


How do I find the factor combinations of the number 12,780,425?

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 12,780,425, 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 12,780,425
-1 -12,780,425

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 12,780,425.

Example:
1 x 12,780,425 = 12,780,425
and
-1 x -12,780,425 = 12,780,425
Notice both answers equal 12,780,425

With that explanation out of the way, let's continue. Next, we take the number 12,780,425 and divide it by 2:

12,780,425 ÷ 2 = 6,390,212.5

If the quotient is a whole number, then 2 and 6,390,212.5 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 12,780,425
-1 -12,780,425

Now, we try dividing 12,780,425 by 3:

12,780,425 ÷ 3 = 4,260,141.6667

If the quotient is a whole number, then 3 and 4,260,141.6667 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 12,780,425
-1 -12,780,425

Let's try dividing by 4:

12,780,425 ÷ 4 = 3,195,106.25

If the quotient is a whole number, then 4 and 3,195,106.25 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 12,780,425
-1 12,780,425
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535491752451,22510,43352,16573,031260,825365,155511,2171,825,7752,556,08512,780,425
-1-5-7-25-35-49-175-245-1,225-10,433-52,165-73,031-260,825-365,155-511,217-1,825,775-2,556,085-12,780,425

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