Q: What are the factor combinations of the number 33,522,355?
A:
Positive:
1 x 335223555 x 6704471
Negative:
-1 x -33522355-5 x -6704471
A:
Positive:
1 x 335223555 x 6704471
Negative:
-1 x -33522355-5 x -6704471
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 33,522,355, 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 | 33,522,355 | |
-1 | -33,522,355 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 33,522,355.
Example:
1 x 33,522,355 = 33,522,355
and
-1 x -33,522,355 = 33,522,355
Notice both answers equal 33,522,355
With that explanation out of the way, let's continue. Next, we take the number 33,522,355 and divide it by 2:
33,522,355 ÷ 2 = 16,761,177.5
If the quotient is a whole number, then 2 and 16,761,177.5 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 | 33,522,355 | |
-1 | -33,522,355 |
Now, we try dividing 33,522,355 by 3:
33,522,355 ÷ 3 = 11,174,118.3333
If the quotient is a whole number, then 3 and 11,174,118.3333 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 | 33,522,355 | |
-1 | -33,522,355 |
Let's try dividing by 4:
33,522,355 ÷ 4 = 8,380,588.75
If the quotient is a whole number, then 4 and 8,380,588.75 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 | 33,522,355 | |
-1 | 33,522,355 |
If you did it right, you will end up with this table:
1 | 5 | 6,704,471 | 33,522,355 |
-1 | -5 | -6,704,471 | -33,522,355 |
Here are some more numbers to try:
Try the factor calculator