Q: What are the factor combinations of the number 26,255?
A:
Positive:
1 x 262555 x 525159 x 44589 x 295
Negative:
-1 x -26255-5 x -5251-59 x -445-89 x -295
A:
Positive:
1 x 262555 x 525159 x 44589 x 295
Negative:
-1 x -26255-5 x -5251-59 x -445-89 x -295
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 26,255, 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 | 26,255 | |
-1 | -26,255 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 26,255.
Example:
1 x 26,255 = 26,255
and
-1 x -26,255 = 26,255
Notice both answers equal 26,255
With that explanation out of the way, let's continue. Next, we take the number 26,255 and divide it by 2:
26,255 ÷ 2 = 13,127.5
If the quotient is a whole number, then 2 and 13,127.5 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 | 26,255 | |
-1 | -26,255 |
Now, we try dividing 26,255 by 3:
26,255 ÷ 3 = 8,751.6667
If the quotient is a whole number, then 3 and 8,751.6667 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 | 26,255 | |
-1 | -26,255 |
Let's try dividing by 4:
26,255 ÷ 4 = 6,563.75
If the quotient is a whole number, then 4 and 6,563.75 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 | 26,255 | |
-1 | 26,255 |
If you did it right, you will end up with this table:
1 | 5 | 59 | 89 | 295 | 445 | 5,251 | 26,255 |
-1 | -5 | -59 | -89 | -295 | -445 | -5,251 | -26,255 |
Here are some more numbers to try:
Try the factor calculator