Q: What are the factor combinations of the number 303,109?
A:
Positive:
1 x 30310961 x 4969
Negative:
-1 x -303109-61 x -4969
A:
Positive:
1 x 30310961 x 4969
Negative:
-1 x -303109-61 x -4969
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 303,109, 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 | 303,109 | |
-1 | -303,109 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 303,109.
Example:
1 x 303,109 = 303,109
and
-1 x -303,109 = 303,109
Notice both answers equal 303,109
With that explanation out of the way, let's continue. Next, we take the number 303,109 and divide it by 2:
303,109 ÷ 2 = 151,554.5
If the quotient is a whole number, then 2 and 151,554.5 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 | 303,109 | |
-1 | -303,109 |
Now, we try dividing 303,109 by 3:
303,109 ÷ 3 = 101,036.3333
If the quotient is a whole number, then 3 and 101,036.3333 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 | 303,109 | |
-1 | -303,109 |
Let's try dividing by 4:
303,109 ÷ 4 = 75,777.25
If the quotient is a whole number, then 4 and 75,777.25 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 | 303,109 | |
-1 | 303,109 |
If you did it right, you will end up with this table:
1 | 61 | 4,969 | 303,109 |
-1 | -61 | -4,969 | -303,109 |
Here are some more numbers to try:
Try the factor calculator