Q: What are the factor combinations of the number 25,441?
A:
Positive:
1 x 2544113 x 195719 x 1339103 x 247
Negative:
-1 x -25441-13 x -1957-19 x -1339-103 x -247
A:
Positive:
1 x 2544113 x 195719 x 1339103 x 247
Negative:
-1 x -25441-13 x -1957-19 x -1339-103 x -247
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 25,441, 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 | 25,441 | |
-1 | -25,441 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 25,441.
Example:
1 x 25,441 = 25,441
and
-1 x -25,441 = 25,441
Notice both answers equal 25,441
With that explanation out of the way, let's continue. Next, we take the number 25,441 and divide it by 2:
25,441 ÷ 2 = 12,720.5
If the quotient is a whole number, then 2 and 12,720.5 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 | 25,441 | |
-1 | -25,441 |
Now, we try dividing 25,441 by 3:
25,441 ÷ 3 = 8,480.3333
If the quotient is a whole number, then 3 and 8,480.3333 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 | 25,441 | |
-1 | -25,441 |
Let's try dividing by 4:
25,441 ÷ 4 = 6,360.25
If the quotient is a whole number, then 4 and 6,360.25 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 | 25,441 | |
-1 | 25,441 |
If you did it right, you will end up with this table:
1 | 13 | 19 | 103 | 247 | 1,339 | 1,957 | 25,441 |
-1 | -13 | -19 | -103 | -247 | -1,339 | -1,957 | -25,441 |
Here are some more numbers to try:
Try the factor calculator