Q: What are the factor combinations of the number 80,891?
A:
Positive:
1 x 8089123 x 3517
Negative:
-1 x -80891-23 x -3517
A:
Positive:
1 x 8089123 x 3517
Negative:
-1 x -80891-23 x -3517
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 80,891, 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 | 80,891 | |
-1 | -80,891 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 80,891.
Example:
1 x 80,891 = 80,891
and
-1 x -80,891 = 80,891
Notice both answers equal 80,891
With that explanation out of the way, let's continue. Next, we take the number 80,891 and divide it by 2:
80,891 ÷ 2 = 40,445.5
If the quotient is a whole number, then 2 and 40,445.5 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 | 80,891 | |
-1 | -80,891 |
Now, we try dividing 80,891 by 3:
80,891 ÷ 3 = 26,963.6667
If the quotient is a whole number, then 3 and 26,963.6667 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 | 80,891 | |
-1 | -80,891 |
Let's try dividing by 4:
80,891 ÷ 4 = 20,222.75
If the quotient is a whole number, then 4 and 20,222.75 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 | 80,891 | |
-1 | 80,891 |
If you did it right, you will end up with this table:
1 | 23 | 3,517 | 80,891 |
-1 | -23 | -3,517 | -80,891 |
Here are some more numbers to try:
Try the factor calculator