Q: What are the factor combinations of the number 82,709?
A:
Positive:
1 x 8270911 x 751973 x 1133103 x 803
Negative:
-1 x -82709-11 x -7519-73 x -1133-103 x -803
A:
Positive:
1 x 8270911 x 751973 x 1133103 x 803
Negative:
-1 x -82709-11 x -7519-73 x -1133-103 x -803
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 82,709, 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 | 82,709 | |
-1 | -82,709 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 82,709.
Example:
1 x 82,709 = 82,709
and
-1 x -82,709 = 82,709
Notice both answers equal 82,709
With that explanation out of the way, let's continue. Next, we take the number 82,709 and divide it by 2:
82,709 ÷ 2 = 41,354.5
If the quotient is a whole number, then 2 and 41,354.5 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 | 82,709 | |
-1 | -82,709 |
Now, we try dividing 82,709 by 3:
82,709 ÷ 3 = 27,569.6667
If the quotient is a whole number, then 3 and 27,569.6667 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 | 82,709 | |
-1 | -82,709 |
Let's try dividing by 4:
82,709 ÷ 4 = 20,677.25
If the quotient is a whole number, then 4 and 20,677.25 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 | 82,709 | |
-1 | 82,709 |
If you did it right, you will end up with this table:
1 | 11 | 73 | 103 | 803 | 1,133 | 7,519 | 82,709 |
-1 | -11 | -73 | -103 | -803 | -1,133 | -7,519 | -82,709 |
Here are some more numbers to try:
Try the factor calculator