Q: What are the factor combinations of the number 825,317?
A:
Positive:
1 x 825317479 x 1723
Negative:
-1 x -825317-479 x -1723
A:
Positive:
1 x 825317479 x 1723
Negative:
-1 x -825317-479 x -1723
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 825,317, 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 | 825,317 | |
-1 | -825,317 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 825,317.
Example:
1 x 825,317 = 825,317
and
-1 x -825,317 = 825,317
Notice both answers equal 825,317
With that explanation out of the way, let's continue. Next, we take the number 825,317 and divide it by 2:
825,317 ÷ 2 = 412,658.5
If the quotient is a whole number, then 2 and 412,658.5 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 | 825,317 | |
-1 | -825,317 |
Now, we try dividing 825,317 by 3:
825,317 ÷ 3 = 275,105.6667
If the quotient is a whole number, then 3 and 275,105.6667 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 | 825,317 | |
-1 | -825,317 |
Let's try dividing by 4:
825,317 ÷ 4 = 206,329.25
If the quotient is a whole number, then 4 and 206,329.25 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 | 825,317 | |
-1 | 825,317 |
If you did it right, you will end up with this table:
1 | 479 | 1,723 | 825,317 |
-1 | -479 | -1,723 | -825,317 |
Here are some more numbers to try:
Try the factor calculator