Q: What are the factor combinations of the number 935?
A:
Positive:
1 x 9355 x 18711 x 8517 x 55
Negative:
-1 x -935-5 x -187-11 x -85-17 x -55
A:
Positive:
1 x 9355 x 18711 x 8517 x 55
Negative:
-1 x -935-5 x -187-11 x -85-17 x -55
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 935, 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 | 935 | |
-1 | -935 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 935.
Example:
1 x 935 = 935
and
-1 x -935 = 935
Notice both answers equal 935
With that explanation out of the way, let's continue. Next, we take the number 935 and divide it by 2:
935 ÷ 2 = 467.5
If the quotient is a whole number, then 2 and 467.5 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 | 935 | |
-1 | -935 |
Now, we try dividing 935 by 3:
935 ÷ 3 = 311.6667
If the quotient is a whole number, then 3 and 311.6667 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 | 935 | |
-1 | -935 |
Let's try dividing by 4:
935 ÷ 4 = 233.75
If the quotient is a whole number, then 4 and 233.75 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 | 935 | |
-1 | 935 |
If you did it right, you will end up with this table:
1 | 5 | 11 | 17 | 55 | 85 | 187 | 935 |
-1 | -5 | -11 | -17 | -55 | -85 | -187 | -935 |
Here are some more numbers to try:
Try the factor calculator