Q: What are the factor combinations of the number 80,729?
A:
Positive:
1 x 8072911 x 733941 x 1969179 x 451
Negative:
-1 x -80729-11 x -7339-41 x -1969-179 x -451
A:
Positive:
1 x 8072911 x 733941 x 1969179 x 451
Negative:
-1 x -80729-11 x -7339-41 x -1969-179 x -451
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 80,729, 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 | 80,729 | |
-1 | -80,729 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 80,729.
Example:
1 x 80,729 = 80,729
and
-1 x -80,729 = 80,729
Notice both answers equal 80,729
With that explanation out of the way, let's continue. Next, we take the number 80,729 and divide it by 2:
80,729 ÷ 2 = 40,364.5
If the quotient is a whole number, then 2 and 40,364.5 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 | 80,729 | |
-1 | -80,729 |
Now, we try dividing 80,729 by 3:
80,729 ÷ 3 = 26,909.6667
If the quotient is a whole number, then 3 and 26,909.6667 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 | 80,729 | |
-1 | -80,729 |
Let's try dividing by 4:
80,729 ÷ 4 = 20,182.25
If the quotient is a whole number, then 4 and 20,182.25 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 | 80,729 | |
-1 | 80,729 |
If you did it right, you will end up with this table:
1 | 11 | 41 | 179 | 451 | 1,969 | 7,339 | 80,729 |
-1 | -11 | -41 | -179 | -451 | -1,969 | -7,339 | -80,729 |
Here are some more numbers to try:
Try the factor calculator