Q: What are the factor combinations of the number 82,289?
A:
Positive:
1 x 8228919 x 433161 x 134971 x 1159
Negative:
-1 x -82289-19 x -4331-61 x -1349-71 x -1159
A:
Positive:
1 x 8228919 x 433161 x 134971 x 1159
Negative:
-1 x -82289-19 x -4331-61 x -1349-71 x -1159
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 82,289, 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 | 82,289 | |
-1 | -82,289 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 82,289.
Example:
1 x 82,289 = 82,289
and
-1 x -82,289 = 82,289
Notice both answers equal 82,289
With that explanation out of the way, let's continue. Next, we take the number 82,289 and divide it by 2:
82,289 ÷ 2 = 41,144.5
If the quotient is a whole number, then 2 and 41,144.5 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 | 82,289 | |
-1 | -82,289 |
Now, we try dividing 82,289 by 3:
82,289 ÷ 3 = 27,429.6667
If the quotient is a whole number, then 3 and 27,429.6667 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 | 82,289 | |
-1 | -82,289 |
Let's try dividing by 4:
82,289 ÷ 4 = 20,572.25
If the quotient is a whole number, then 4 and 20,572.25 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 | 82,289 | |
-1 | 82,289 |
If you did it right, you will end up with this table:
1 | 19 | 61 | 71 | 1,159 | 1,349 | 4,331 | 82,289 |
-1 | -19 | -61 | -71 | -1,159 | -1,349 | -4,331 | -82,289 |
Here are some more numbers to try:
Try the factor calculator