Q: What are the factor combinations of the number 82,205?
A:
Positive:
1 x 822055 x 1644141 x 2005205 x 401
Negative:
-1 x -82205-5 x -16441-41 x -2005-205 x -401
A:
Positive:
1 x 822055 x 1644141 x 2005205 x 401
Negative:
-1 x -82205-5 x -16441-41 x -2005-205 x -401
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 82,205, 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 | 82,205 | |
-1 | -82,205 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 82,205.
Example:
1 x 82,205 = 82,205
and
-1 x -82,205 = 82,205
Notice both answers equal 82,205
With that explanation out of the way, let's continue. Next, we take the number 82,205 and divide it by 2:
82,205 ÷ 2 = 41,102.5
If the quotient is a whole number, then 2 and 41,102.5 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 | 82,205 | |
-1 | -82,205 |
Now, we try dividing 82,205 by 3:
82,205 ÷ 3 = 27,401.6667
If the quotient is a whole number, then 3 and 27,401.6667 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 | 82,205 | |
-1 | -82,205 |
Let's try dividing by 4:
82,205 ÷ 4 = 20,551.25
If the quotient is a whole number, then 4 and 20,551.25 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 | 82,205 | |
-1 | 82,205 |
If you did it right, you will end up with this table:
1 | 5 | 41 | 205 | 401 | 2,005 | 16,441 | 82,205 |
-1 | -5 | -41 | -205 | -401 | -2,005 | -16,441 | -82,205 |
Here are some more numbers to try:
Try the factor calculator