Q: What are the factor combinations of the number 25,955?
A:
Positive:
1 x 259555 x 519129 x 895145 x 179
Negative:
-1 x -25955-5 x -5191-29 x -895-145 x -179
A:
Positive:
1 x 259555 x 519129 x 895145 x 179
Negative:
-1 x -25955-5 x -5191-29 x -895-145 x -179
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 25,955, 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 | 25,955 | |
-1 | -25,955 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 25,955.
Example:
1 x 25,955 = 25,955
and
-1 x -25,955 = 25,955
Notice both answers equal 25,955
With that explanation out of the way, let's continue. Next, we take the number 25,955 and divide it by 2:
25,955 ÷ 2 = 12,977.5
If the quotient is a whole number, then 2 and 12,977.5 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 | 25,955 | |
-1 | -25,955 |
Now, we try dividing 25,955 by 3:
25,955 ÷ 3 = 8,651.6667
If the quotient is a whole number, then 3 and 8,651.6667 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 | 25,955 | |
-1 | -25,955 |
Let's try dividing by 4:
25,955 ÷ 4 = 6,488.75
If the quotient is a whole number, then 4 and 6,488.75 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 | 25,955 | |
-1 | 25,955 |
If you did it right, you will end up with this table:
1 | 5 | 29 | 145 | 179 | 895 | 5,191 | 25,955 |
-1 | -5 | -29 | -145 | -179 | -895 | -5,191 | -25,955 |
Here are some more numbers to try:
Try the factor calculator