Q: What are the factor combinations of the number 75,235?
A:
Positive:
1 x 752355 x 1504741 x 1835205 x 367
Negative:
-1 x -75235-5 x -15047-41 x -1835-205 x -367
A:
Positive:
1 x 752355 x 1504741 x 1835205 x 367
Negative:
-1 x -75235-5 x -15047-41 x -1835-205 x -367
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 75,235, 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 | 75,235 | |
-1 | -75,235 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 75,235.
Example:
1 x 75,235 = 75,235
and
-1 x -75,235 = 75,235
Notice both answers equal 75,235
With that explanation out of the way, let's continue. Next, we take the number 75,235 and divide it by 2:
75,235 ÷ 2 = 37,617.5
If the quotient is a whole number, then 2 and 37,617.5 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 | 75,235 | |
-1 | -75,235 |
Now, we try dividing 75,235 by 3:
75,235 ÷ 3 = 25,078.3333
If the quotient is a whole number, then 3 and 25,078.3333 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 | 75,235 | |
-1 | -75,235 |
Let's try dividing by 4:
75,235 ÷ 4 = 18,808.75
If the quotient is a whole number, then 4 and 18,808.75 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 | 75,235 | |
-1 | 75,235 |
If you did it right, you will end up with this table:
1 | 5 | 41 | 205 | 367 | 1,835 | 15,047 | 75,235 |
-1 | -5 | -41 | -205 | -367 | -1,835 | -15,047 | -75,235 |
Here are some more numbers to try:
Try the factor calculator