Q: What are the factor combinations of the number 59,935?
A:
Positive:
1 x 599355 x 11987
Negative:
-1 x -59935-5 x -11987
A:
Positive:
1 x 599355 x 11987
Negative:
-1 x -59935-5 x -11987
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 59,935, 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 | 59,935 | |
-1 | -59,935 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 59,935.
Example:
1 x 59,935 = 59,935
and
-1 x -59,935 = 59,935
Notice both answers equal 59,935
With that explanation out of the way, let's continue. Next, we take the number 59,935 and divide it by 2:
59,935 ÷ 2 = 29,967.5
If the quotient is a whole number, then 2 and 29,967.5 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 | 59,935 | |
-1 | -59,935 |
Now, we try dividing 59,935 by 3:
59,935 ÷ 3 = 19,978.3333
If the quotient is a whole number, then 3 and 19,978.3333 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 | 59,935 | |
-1 | -59,935 |
Let's try dividing by 4:
59,935 ÷ 4 = 14,983.75
If the quotient is a whole number, then 4 and 14,983.75 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 | 59,935 | |
-1 | 59,935 |
If you did it right, you will end up with this table:
1 | 5 | 11,987 | 59,935 |
-1 | -5 | -11,987 | -59,935 |
Here are some more numbers to try:
Try the factor calculator