Q: What are the factor combinations of the number 12,252,835?

 A:
Positive:   1 x 122528355 x 24505677 x 175040517 x 72075535 x 35008185 x 144151119 x 102965595 x 20593
Negative: -1 x -12252835-5 x -2450567-7 x -1750405-17 x -720755-35 x -350081-85 x -144151-119 x -102965-595 x -20593


How do I find the factor combinations of the number 12,252,835?

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 12,252,835, 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 12,252,835
-1 -12,252,835

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 12,252,835.

Example:
1 x 12,252,835 = 12,252,835
and
-1 x -12,252,835 = 12,252,835
Notice both answers equal 12,252,835

With that explanation out of the way, let's continue. Next, we take the number 12,252,835 and divide it by 2:

12,252,835 ÷ 2 = 6,126,417.5

If the quotient is a whole number, then 2 and 6,126,417.5 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 12,252,835
-1 -12,252,835

Now, we try dividing 12,252,835 by 3:

12,252,835 ÷ 3 = 4,084,278.3333

If the quotient is a whole number, then 3 and 4,084,278.3333 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 12,252,835
-1 -12,252,835

Let's try dividing by 4:

12,252,835 ÷ 4 = 3,063,208.75

If the quotient is a whole number, then 4 and 3,063,208.75 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 12,252,835
-1 12,252,835
Keep dividing by the next highest number until you cannot divide anymore.

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

15717358511959520,593102,965144,151350,081720,7551,750,4052,450,56712,252,835
-1-5-7-17-35-85-119-595-20,593-102,965-144,151-350,081-720,755-1,750,405-2,450,567-12,252,835

More Examples

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