Q: What are the factor combinations of the number 82,187?
A:
Positive:
1 x 821877 x 1174159 x 1393199 x 413
Negative:
-1 x -82187-7 x -11741-59 x -1393-199 x -413
A:
Positive:
1 x 821877 x 1174159 x 1393199 x 413
Negative:
-1 x -82187-7 x -11741-59 x -1393-199 x -413
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 82,187, 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 | 82,187 | |
-1 | -82,187 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 82,187.
Example:
1 x 82,187 = 82,187
and
-1 x -82,187 = 82,187
Notice both answers equal 82,187
With that explanation out of the way, let's continue. Next, we take the number 82,187 and divide it by 2:
82,187 ÷ 2 = 41,093.5
If the quotient is a whole number, then 2 and 41,093.5 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 | 82,187 | |
-1 | -82,187 |
Now, we try dividing 82,187 by 3:
82,187 ÷ 3 = 27,395.6667
If the quotient is a whole number, then 3 and 27,395.6667 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 | 82,187 | |
-1 | -82,187 |
Let's try dividing by 4:
82,187 ÷ 4 = 20,546.75
If the quotient is a whole number, then 4 and 20,546.75 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 | 82,187 | |
-1 | 82,187 |
If you did it right, you will end up with this table:
1 | 7 | 59 | 199 | 413 | 1,393 | 11,741 | 82,187 |
-1 | -7 | -59 | -199 | -413 | -1,393 | -11,741 | -82,187 |
Here are some more numbers to try:
Try the factor calculator