Q: What are the factor combinations of the number 33,055?
A:
Positive:
1 x 330555 x 661111 x 300555 x 601
Negative:
-1 x -33055-5 x -6611-11 x -3005-55 x -601
A:
Positive:
1 x 330555 x 661111 x 300555 x 601
Negative:
-1 x -33055-5 x -6611-11 x -3005-55 x -601
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 33,055, 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 | 33,055 | |
-1 | -33,055 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 33,055.
Example:
1 x 33,055 = 33,055
and
-1 x -33,055 = 33,055
Notice both answers equal 33,055
With that explanation out of the way, let's continue. Next, we take the number 33,055 and divide it by 2:
33,055 ÷ 2 = 16,527.5
If the quotient is a whole number, then 2 and 16,527.5 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 | 33,055 | |
-1 | -33,055 |
Now, we try dividing 33,055 by 3:
33,055 ÷ 3 = 11,018.3333
If the quotient is a whole number, then 3 and 11,018.3333 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 | 33,055 | |
-1 | -33,055 |
Let's try dividing by 4:
33,055 ÷ 4 = 8,263.75
If the quotient is a whole number, then 4 and 8,263.75 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 | 33,055 | |
-1 | 33,055 |
If you did it right, you will end up with this table:
1 | 5 | 11 | 55 | 601 | 3,005 | 6,611 | 33,055 |
-1 | -5 | -11 | -55 | -601 | -3,005 | -6,611 | -33,055 |
Here are some more numbers to try:
Try the factor calculator