Q: What are the factor combinations of the number 82,975?
A:
Positive:
1 x 829755 x 1659525 x 3319
Negative:
-1 x -82975-5 x -16595-25 x -3319
A:
Positive:
1 x 829755 x 1659525 x 3319
Negative:
-1 x -82975-5 x -16595-25 x -3319
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 82,975, 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 | 82,975 | |
-1 | -82,975 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 82,975.
Example:
1 x 82,975 = 82,975
and
-1 x -82,975 = 82,975
Notice both answers equal 82,975
With that explanation out of the way, let's continue. Next, we take the number 82,975 and divide it by 2:
82,975 ÷ 2 = 41,487.5
If the quotient is a whole number, then 2 and 41,487.5 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 | 82,975 | |
-1 | -82,975 |
Now, we try dividing 82,975 by 3:
82,975 ÷ 3 = 27,658.3333
If the quotient is a whole number, then 3 and 27,658.3333 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 | 82,975 | |
-1 | -82,975 |
Let's try dividing by 4:
82,975 ÷ 4 = 20,743.75
If the quotient is a whole number, then 4 and 20,743.75 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 | 82,975 | |
-1 | 82,975 |
If you did it right, you will end up with this table:
1 | 5 | 25 | 3,319 | 16,595 | 82,975 |
-1 | -5 | -25 | -3,319 | -16,595 | -82,975 |
Here are some more numbers to try:
Try the factor calculator