Q: What are the factor combinations of the number 80,735?
A:
Positive:
1 x 807355 x 1614767 x 1205241 x 335
Negative:
-1 x -80735-5 x -16147-67 x -1205-241 x -335
A:
Positive:
1 x 807355 x 1614767 x 1205241 x 335
Negative:
-1 x -80735-5 x -16147-67 x -1205-241 x -335
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 80,735, 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 | 80,735 | |
-1 | -80,735 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 80,735.
Example:
1 x 80,735 = 80,735
and
-1 x -80,735 = 80,735
Notice both answers equal 80,735
With that explanation out of the way, let's continue. Next, we take the number 80,735 and divide it by 2:
80,735 ÷ 2 = 40,367.5
If the quotient is a whole number, then 2 and 40,367.5 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 | 80,735 | |
-1 | -80,735 |
Now, we try dividing 80,735 by 3:
80,735 ÷ 3 = 26,911.6667
If the quotient is a whole number, then 3 and 26,911.6667 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 | 80,735 | |
-1 | -80,735 |
Let's try dividing by 4:
80,735 ÷ 4 = 20,183.75
If the quotient is a whole number, then 4 and 20,183.75 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 | 80,735 | |
-1 | 80,735 |
If you did it right, you will end up with this table:
1 | 5 | 67 | 241 | 335 | 1,205 | 16,147 | 80,735 |
-1 | -5 | -67 | -241 | -335 | -1,205 | -16,147 | -80,735 |
Here are some more numbers to try:
Try the factor calculator