Q: What are the factor combinations of the number 25,915?
A:
Positive:
1 x 259155 x 518371 x 36573 x 355
Negative:
-1 x -25915-5 x -5183-71 x -365-73 x -355
A:
Positive:
1 x 259155 x 518371 x 36573 x 355
Negative:
-1 x -25915-5 x -5183-71 x -365-73 x -355
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 25,915, 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 | 25,915 | |
-1 | -25,915 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 25,915.
Example:
1 x 25,915 = 25,915
and
-1 x -25,915 = 25,915
Notice both answers equal 25,915
With that explanation out of the way, let's continue. Next, we take the number 25,915 and divide it by 2:
25,915 ÷ 2 = 12,957.5
If the quotient is a whole number, then 2 and 12,957.5 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 | 25,915 | |
-1 | -25,915 |
Now, we try dividing 25,915 by 3:
25,915 ÷ 3 = 8,638.3333
If the quotient is a whole number, then 3 and 8,638.3333 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 | 25,915 | |
-1 | -25,915 |
Let's try dividing by 4:
25,915 ÷ 4 = 6,478.75
If the quotient is a whole number, then 4 and 6,478.75 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 | 25,915 | |
-1 | 25,915 |
If you did it right, you will end up with this table:
1 | 5 | 71 | 73 | 355 | 365 | 5,183 | 25,915 |
-1 | -5 | -71 | -73 | -355 | -365 | -5,183 | -25,915 |
Here are some more numbers to try:
Try the factor calculator