Q: What are the factor combinations of the number 825,319?
A:
Positive:
1 x 82531911 x 75029
Negative:
-1 x -825319-11 x -75029
A:
Positive:
1 x 82531911 x 75029
Negative:
-1 x -825319-11 x -75029
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 825,319, 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 | 825,319 | |
-1 | -825,319 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 825,319.
Example:
1 x 825,319 = 825,319
and
-1 x -825,319 = 825,319
Notice both answers equal 825,319
With that explanation out of the way, let's continue. Next, we take the number 825,319 and divide it by 2:
825,319 ÷ 2 = 412,659.5
If the quotient is a whole number, then 2 and 412,659.5 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 | 825,319 | |
-1 | -825,319 |
Now, we try dividing 825,319 by 3:
825,319 ÷ 3 = 275,106.3333
If the quotient is a whole number, then 3 and 275,106.3333 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 | 825,319 | |
-1 | -825,319 |
Let's try dividing by 4:
825,319 ÷ 4 = 206,329.75
If the quotient is a whole number, then 4 and 206,329.75 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 | 825,319 | |
-1 | 825,319 |
If you did it right, you will end up with this table:
1 | 11 | 75,029 | 825,319 |
-1 | -11 | -75,029 | -825,319 |
Here are some more numbers to try:
Try the factor calculator