Q: What are the factor combinations of the number 12,200,441?

 A:
Positive:   1 x 1220044111 x 110913117 x 71767353 x 230197187 x 65243583 x 20927901 x 135411231 x 9911
Negative: -1 x -12200441-11 x -1109131-17 x -717673-53 x -230197-187 x -65243-583 x -20927-901 x -13541-1231 x -9911


How do I find the factor combinations of the number 12,200,441?

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 12,200,441, 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 12,200,441
-1 -12,200,441

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 12,200,441.

Example:
1 x 12,200,441 = 12,200,441
and
-1 x -12,200,441 = 12,200,441
Notice both answers equal 12,200,441

With that explanation out of the way, let's continue. Next, we take the number 12,200,441 and divide it by 2:

12,200,441 ÷ 2 = 6,100,220.5

If the quotient is a whole number, then 2 and 6,100,220.5 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 12,200,441
-1 -12,200,441

Now, we try dividing 12,200,441 by 3:

12,200,441 ÷ 3 = 4,066,813.6667

If the quotient is a whole number, then 3 and 4,066,813.6667 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 12,200,441
-1 -12,200,441

Let's try dividing by 4:

12,200,441 ÷ 4 = 3,050,110.25

If the quotient is a whole number, then 4 and 3,050,110.25 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 12,200,441
-1 12,200,441
Keep dividing by the next highest number until you cannot divide anymore.

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

11117531875839011,2319,91113,54120,92765,243230,197717,6731,109,13112,200,441
-1-11-17-53-187-583-901-1,231-9,911-13,541-20,927-65,243-230,197-717,673-1,109,131-12,200,441

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 12,200,441:


Ask a Question