Q: What are the factor combinations of the number 235,325?
A:
Positive:
1 x 2353255 x 4706525 x 9413
Negative:
-1 x -235325-5 x -47065-25 x -9413
A:
Positive:
1 x 2353255 x 4706525 x 9413
Negative:
-1 x -235325-5 x -47065-25 x -9413
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 235,325, 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 | 235,325 | |
-1 | -235,325 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 235,325.
Example:
1 x 235,325 = 235,325
and
-1 x -235,325 = 235,325
Notice both answers equal 235,325
With that explanation out of the way, let's continue. Next, we take the number 235,325 and divide it by 2:
235,325 ÷ 2 = 117,662.5
If the quotient is a whole number, then 2 and 117,662.5 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 | 235,325 | |
-1 | -235,325 |
Now, we try dividing 235,325 by 3:
235,325 ÷ 3 = 78,441.6667
If the quotient is a whole number, then 3 and 78,441.6667 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 | 235,325 | |
-1 | -235,325 |
Let's try dividing by 4:
235,325 ÷ 4 = 58,831.25
If the quotient is a whole number, then 4 and 58,831.25 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 | 235,325 | |
-1 | 235,325 |
If you did it right, you will end up with this table:
1 | 5 | 25 | 9,413 | 47,065 | 235,325 |
-1 | -5 | -25 | -9,413 | -47,065 | -235,325 |
Here are some more numbers to try:
Try the factor calculator