Q: What are the factor combinations of the number 82,715?
A:
Positive:
1 x 827155 x 1654371 x 1165233 x 355
Negative:
-1 x -82715-5 x -16543-71 x -1165-233 x -355
A:
Positive:
1 x 827155 x 1654371 x 1165233 x 355
Negative:
-1 x -82715-5 x -16543-71 x -1165-233 x -355
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 82,715, 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 | 82,715 | |
-1 | -82,715 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 82,715.
Example:
1 x 82,715 = 82,715
and
-1 x -82,715 = 82,715
Notice both answers equal 82,715
With that explanation out of the way, let's continue. Next, we take the number 82,715 and divide it by 2:
82,715 ÷ 2 = 41,357.5
If the quotient is a whole number, then 2 and 41,357.5 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 | 82,715 | |
-1 | -82,715 |
Now, we try dividing 82,715 by 3:
82,715 ÷ 3 = 27,571.6667
If the quotient is a whole number, then 3 and 27,571.6667 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 | 82,715 | |
-1 | -82,715 |
Let's try dividing by 4:
82,715 ÷ 4 = 20,678.75
If the quotient is a whole number, then 4 and 20,678.75 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 | 82,715 | |
-1 | 82,715 |
If you did it right, you will end up with this table:
1 | 5 | 71 | 233 | 355 | 1,165 | 16,543 | 82,715 |
-1 | -5 | -71 | -233 | -355 | -1,165 | -16,543 | -82,715 |
Here are some more numbers to try:
Try the factor calculator