Q: What are the factor combinations of the number 80,327?
A:
Positive:
1 x 8032713 x 617937 x 2171167 x 481
Negative:
-1 x -80327-13 x -6179-37 x -2171-167 x -481
A:
Positive:
1 x 8032713 x 617937 x 2171167 x 481
Negative:
-1 x -80327-13 x -6179-37 x -2171-167 x -481
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 80,327, 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 | 80,327 | |
-1 | -80,327 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 80,327.
Example:
1 x 80,327 = 80,327
and
-1 x -80,327 = 80,327
Notice both answers equal 80,327
With that explanation out of the way, let's continue. Next, we take the number 80,327 and divide it by 2:
80,327 ÷ 2 = 40,163.5
If the quotient is a whole number, then 2 and 40,163.5 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 | 80,327 | |
-1 | -80,327 |
Now, we try dividing 80,327 by 3:
80,327 ÷ 3 = 26,775.6667
If the quotient is a whole number, then 3 and 26,775.6667 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 | 80,327 | |
-1 | -80,327 |
Let's try dividing by 4:
80,327 ÷ 4 = 20,081.75
If the quotient is a whole number, then 4 and 20,081.75 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 | 80,327 | |
-1 | 80,327 |
If you did it right, you will end up with this table:
1 | 13 | 37 | 167 | 481 | 2,171 | 6,179 | 80,327 |
-1 | -13 | -37 | -167 | -481 | -2,171 | -6,179 | -80,327 |
Here are some more numbers to try:
Try the factor calculator