Q: What are the factor combinations of the number 255,401?
A:
Positive:
1 x 25540197 x 2633
Negative:
-1 x -255401-97 x -2633
A:
Positive:
1 x 25540197 x 2633
Negative:
-1 x -255401-97 x -2633
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 255,401, 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 | 255,401 | |
-1 | -255,401 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 255,401.
Example:
1 x 255,401 = 255,401
and
-1 x -255,401 = 255,401
Notice both answers equal 255,401
With that explanation out of the way, let's continue. Next, we take the number 255,401 and divide it by 2:
255,401 ÷ 2 = 127,700.5
If the quotient is a whole number, then 2 and 127,700.5 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 | 255,401 | |
-1 | -255,401 |
Now, we try dividing 255,401 by 3:
255,401 ÷ 3 = 85,133.6667
If the quotient is a whole number, then 3 and 85,133.6667 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 | 255,401 | |
-1 | -255,401 |
Let's try dividing by 4:
255,401 ÷ 4 = 63,850.25
If the quotient is a whole number, then 4 and 63,850.25 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 | 255,401 | |
-1 | 255,401 |
If you did it right, you will end up with this table:
1 | 97 | 2,633 | 255,401 |
-1 | -97 | -2,633 | -255,401 |
Here are some more numbers to try:
Try the factor calculator