Q: What are the factor combinations of the number 11,809,609?
A:
Positive:
1 x 118096097 x 1687087
Negative:
-1 x -11809609-7 x -1687087
A:
Positive:
1 x 118096097 x 1687087
Negative:
-1 x -11809609-7 x -1687087
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 11,809,609, it is easier to work with a table - it's called factoring from the outside in.
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 | 11,809,609 | |
-1 | -11,809,609 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 11,809,609.
Example:
1 x 11,809,609 = 11,809,609
and
-1 x -11,809,609 = 11,809,609
Notice both answers equal 11,809,609
With that explanation out of the way, let's continue. Next, we take the number 11,809,609 and divide it by 2:
11,809,609 ÷ 2 = 5,904,804.5
If the quotient is a whole number, then 2 and 5,904,804.5 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 | 11,809,609 | |
-1 | -11,809,609 |
Now, we try dividing 11,809,609 by 3:
11,809,609 ÷ 3 = 3,936,536.3333
If the quotient is a whole number, then 3 and 3,936,536.3333 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 | 11,809,609 | |
-1 | -11,809,609 |
Let's try dividing by 4:
11,809,609 ÷ 4 = 2,952,402.25
If the quotient is a whole number, then 4 and 2,952,402.25 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 | 11,809,609 | |
-1 | 11,809,609 |
If you did it right, you will end up with this table:
1 | 7 | 1,687,087 | 11,809,609 |
-1 | -7 | -1,687,087 | -11,809,609 |
Here are some more numbers to try:
Try the factor calculator