Q: What are the factor combinations of the number 80,983?
A:
Positive:
1 x 809837 x 1156923 x 3521161 x 503
Negative:
-1 x -80983-7 x -11569-23 x -3521-161 x -503
A:
Positive:
1 x 809837 x 1156923 x 3521161 x 503
Negative:
-1 x -80983-7 x -11569-23 x -3521-161 x -503
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 80,983, 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 | 80,983 | |
-1 | -80,983 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 80,983.
Example:
1 x 80,983 = 80,983
and
-1 x -80,983 = 80,983
Notice both answers equal 80,983
With that explanation out of the way, let's continue. Next, we take the number 80,983 and divide it by 2:
80,983 ÷ 2 = 40,491.5
If the quotient is a whole number, then 2 and 40,491.5 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 | 80,983 | |
-1 | -80,983 |
Now, we try dividing 80,983 by 3:
80,983 ÷ 3 = 26,994.3333
If the quotient is a whole number, then 3 and 26,994.3333 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 | 80,983 | |
-1 | -80,983 |
Let's try dividing by 4:
80,983 ÷ 4 = 20,245.75
If the quotient is a whole number, then 4 and 20,245.75 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 | 80,983 | |
-1 | 80,983 |
If you did it right, you will end up with this table:
1 | 7 | 23 | 161 | 503 | 3,521 | 11,569 | 80,983 |
-1 | -7 | -23 | -161 | -503 | -3,521 | -11,569 | -80,983 |
Here are some more numbers to try:
Try the factor calculator