Q: What are the factor combinations of the number 30,835?
A:
Positive:
1 x 308355 x 61677 x 440535 x 881
Negative:
-1 x -30835-5 x -6167-7 x -4405-35 x -881
A:
Positive:
1 x 308355 x 61677 x 440535 x 881
Negative:
-1 x -30835-5 x -6167-7 x -4405-35 x -881
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 30,835, 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 | 30,835 | |
-1 | -30,835 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 30,835.
Example:
1 x 30,835 = 30,835
and
-1 x -30,835 = 30,835
Notice both answers equal 30,835
With that explanation out of the way, let's continue. Next, we take the number 30,835 and divide it by 2:
30,835 ÷ 2 = 15,417.5
If the quotient is a whole number, then 2 and 15,417.5 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 | 30,835 | |
-1 | -30,835 |
Now, we try dividing 30,835 by 3:
30,835 ÷ 3 = 10,278.3333
If the quotient is a whole number, then 3 and 10,278.3333 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 | 30,835 | |
-1 | -30,835 |
Let's try dividing by 4:
30,835 ÷ 4 = 7,708.75
If the quotient is a whole number, then 4 and 7,708.75 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 | 30,835 | |
-1 | 30,835 |
If you did it right, you will end up with this table:
1 | 5 | 7 | 35 | 881 | 4,405 | 6,167 | 30,835 |
-1 | -5 | -7 | -35 | -881 | -4,405 | -6,167 | -30,835 |
Here are some more numbers to try:
Try the factor calculator