Q: What are the factor combinations of the number 825,499?
A:
Positive:
1 x 82549931 x 26629859 x 961
Negative:
-1 x -825499-31 x -26629-859 x -961
A:
Positive:
1 x 82549931 x 26629859 x 961
Negative:
-1 x -825499-31 x -26629-859 x -961
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 825,499, 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 | 825,499 | |
-1 | -825,499 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 825,499.
Example:
1 x 825,499 = 825,499
and
-1 x -825,499 = 825,499
Notice both answers equal 825,499
With that explanation out of the way, let's continue. Next, we take the number 825,499 and divide it by 2:
825,499 ÷ 2 = 412,749.5
If the quotient is a whole number, then 2 and 412,749.5 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 | 825,499 | |
-1 | -825,499 |
Now, we try dividing 825,499 by 3:
825,499 ÷ 3 = 275,166.3333
If the quotient is a whole number, then 3 and 275,166.3333 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 | 825,499 | |
-1 | -825,499 |
Let's try dividing by 4:
825,499 ÷ 4 = 206,374.75
If the quotient is a whole number, then 4 and 206,374.75 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 | 825,499 | |
-1 | 825,499 |
If you did it right, you will end up with this table:
1 | 31 | 859 | 961 | 26,629 | 825,499 |
-1 | -31 | -859 | -961 | -26,629 | -825,499 |
Here are some more numbers to try:
Try the factor calculator