Q: What are the factor combinations of the number 25,165?
A:
Positive:
1 x 251655 x 50337 x 359535 x 719
Negative:
-1 x -25165-5 x -5033-7 x -3595-35 x -719
A:
Positive:
1 x 251655 x 50337 x 359535 x 719
Negative:
-1 x -25165-5 x -5033-7 x -3595-35 x -719
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 25,165, 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 | 25,165 | |
-1 | -25,165 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 25,165.
Example:
1 x 25,165 = 25,165
and
-1 x -25,165 = 25,165
Notice both answers equal 25,165
With that explanation out of the way, let's continue. Next, we take the number 25,165 and divide it by 2:
25,165 ÷ 2 = 12,582.5
If the quotient is a whole number, then 2 and 12,582.5 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 | 25,165 | |
-1 | -25,165 |
Now, we try dividing 25,165 by 3:
25,165 ÷ 3 = 8,388.3333
If the quotient is a whole number, then 3 and 8,388.3333 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 | 25,165 | |
-1 | -25,165 |
Let's try dividing by 4:
25,165 ÷ 4 = 6,291.25
If the quotient is a whole number, then 4 and 6,291.25 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 | 25,165 | |
-1 | 25,165 |
If you did it right, you will end up with this table:
1 | 5 | 7 | 35 | 719 | 3,595 | 5,033 | 25,165 |
-1 | -5 | -7 | -35 | -719 | -3,595 | -5,033 | -25,165 |
Here are some more numbers to try:
Try the factor calculator