Q: What are the factor combinations of the number 75,245?
A:
Positive:
1 x 752455 x 15049101 x 745149 x 505
Negative:
-1 x -75245-5 x -15049-101 x -745-149 x -505
A:
Positive:
1 x 752455 x 15049101 x 745149 x 505
Negative:
-1 x -75245-5 x -15049-101 x -745-149 x -505
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 75,245, 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 | 75,245 | |
-1 | -75,245 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 75,245.
Example:
1 x 75,245 = 75,245
and
-1 x -75,245 = 75,245
Notice both answers equal 75,245
With that explanation out of the way, let's continue. Next, we take the number 75,245 and divide it by 2:
75,245 ÷ 2 = 37,622.5
If the quotient is a whole number, then 2 and 37,622.5 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 | 75,245 | |
-1 | -75,245 |
Now, we try dividing 75,245 by 3:
75,245 ÷ 3 = 25,081.6667
If the quotient is a whole number, then 3 and 25,081.6667 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 | 75,245 | |
-1 | -75,245 |
Let's try dividing by 4:
75,245 ÷ 4 = 18,811.25
If the quotient is a whole number, then 4 and 18,811.25 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 | 75,245 | |
-1 | 75,245 |
If you did it right, you will end up with this table:
1 | 5 | 101 | 149 | 505 | 745 | 15,049 | 75,245 |
-1 | -5 | -101 | -149 | -505 | -745 | -15,049 | -75,245 |
Here are some more numbers to try:
Try the factor calculator