Q: What are the factor combinations of the number 11,981,963?

 A:
Positive:   1 x 119819637 x 171170941 x 29224383 x 144361287 x 41749503 x 23821581 x 206233403 x 3521
Negative: -1 x -11981963-7 x -1711709-41 x -292243-83 x -144361-287 x -41749-503 x -23821-581 x -20623-3403 x -3521


How do I find the factor combinations of the number 11,981,963?

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 11,981,963, 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 11,981,963
-1 -11,981,963

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 11,981,963.

Example:
1 x 11,981,963 = 11,981,963
and
-1 x -11,981,963 = 11,981,963
Notice both answers equal 11,981,963

With that explanation out of the way, let's continue. Next, we take the number 11,981,963 and divide it by 2:

11,981,963 ÷ 2 = 5,990,981.5

If the quotient is a whole number, then 2 and 5,990,981.5 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 11,981,963
-1 -11,981,963

Now, we try dividing 11,981,963 by 3:

11,981,963 ÷ 3 = 3,993,987.6667

If the quotient is a whole number, then 3 and 3,993,987.6667 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 11,981,963
-1 -11,981,963

Let's try dividing by 4:

11,981,963 ÷ 4 = 2,995,490.75

If the quotient is a whole number, then 4 and 2,995,490.75 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 11,981,963
-1 11,981,963
Keep dividing by the next highest number until you cannot divide anymore.

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

1741832875035813,4033,52120,62323,82141,749144,361292,2431,711,70911,981,963
-1-7-41-83-287-503-581-3,403-3,521-20,623-23,821-41,749-144,361-292,243-1,711,709-11,981,963

More Examples

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