Q: What are the factor combinations of the number 815,399?
A:
Positive:
1 x 81539913 x 62723
Negative:
-1 x -815399-13 x -62723
A:
Positive:
1 x 81539913 x 62723
Negative:
-1 x -815399-13 x -62723
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 815,399, 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 | 815,399 | |
-1 | -815,399 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 815,399.
Example:
1 x 815,399 = 815,399
and
-1 x -815,399 = 815,399
Notice both answers equal 815,399
With that explanation out of the way, let's continue. Next, we take the number 815,399 and divide it by 2:
815,399 ÷ 2 = 407,699.5
If the quotient is a whole number, then 2 and 407,699.5 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 | 815,399 | |
-1 | -815,399 |
Now, we try dividing 815,399 by 3:
815,399 ÷ 3 = 271,799.6667
If the quotient is a whole number, then 3 and 271,799.6667 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 | 815,399 | |
-1 | -815,399 |
Let's try dividing by 4:
815,399 ÷ 4 = 203,849.75
If the quotient is a whole number, then 4 and 203,849.75 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 | 815,399 | |
-1 | 815,399 |
If you did it right, you will end up with this table:
1 | 13 | 62,723 | 815,399 |
-1 | -13 | -62,723 | -815,399 |
Here are some more numbers to try:
Try the factor calculator