Q: What are the factor combinations of the number 18,245?
A:
Positive:
1 x 182455 x 364941 x 44589 x 205
Negative:
-1 x -18245-5 x -3649-41 x -445-89 x -205
A:
Positive:
1 x 182455 x 364941 x 44589 x 205
Negative:
-1 x -18245-5 x -3649-41 x -445-89 x -205
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 18,245, 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 | 18,245 | |
-1 | -18,245 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 18,245.
Example:
1 x 18,245 = 18,245
and
-1 x -18,245 = 18,245
Notice both answers equal 18,245
With that explanation out of the way, let's continue. Next, we take the number 18,245 and divide it by 2:
18,245 ÷ 2 = 9,122.5
If the quotient is a whole number, then 2 and 9,122.5 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 | 18,245 | |
-1 | -18,245 |
Now, we try dividing 18,245 by 3:
18,245 ÷ 3 = 6,081.6667
If the quotient is a whole number, then 3 and 6,081.6667 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 | 18,245 | |
-1 | -18,245 |
Let's try dividing by 4:
18,245 ÷ 4 = 4,561.25
If the quotient is a whole number, then 4 and 4,561.25 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 | 18,245 | |
-1 | 18,245 |
If you did it right, you will end up with this table:
1 | 5 | 41 | 89 | 205 | 445 | 3,649 | 18,245 |
-1 | -5 | -41 | -89 | -205 | -445 | -3,649 | -18,245 |
Here are some more numbers to try:
Try the factor calculator