Q: What are the factor combinations of the number 18,955?
A:
Positive:
1 x 189555 x 379117 x 111585 x 223
Negative:
-1 x -18955-5 x -3791-17 x -1115-85 x -223
A:
Positive:
1 x 189555 x 379117 x 111585 x 223
Negative:
-1 x -18955-5 x -3791-17 x -1115-85 x -223
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 18,955, 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 | 18,955 | |
-1 | -18,955 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 18,955.
Example:
1 x 18,955 = 18,955
and
-1 x -18,955 = 18,955
Notice both answers equal 18,955
With that explanation out of the way, let's continue. Next, we take the number 18,955 and divide it by 2:
18,955 ÷ 2 = 9,477.5
If the quotient is a whole number, then 2 and 9,477.5 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 | 18,955 | |
-1 | -18,955 |
Now, we try dividing 18,955 by 3:
18,955 ÷ 3 = 6,318.3333
If the quotient is a whole number, then 3 and 6,318.3333 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 | 18,955 | |
-1 | -18,955 |
Let's try dividing by 4:
18,955 ÷ 4 = 4,738.75
If the quotient is a whole number, then 4 and 4,738.75 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 | 18,955 | |
-1 | 18,955 |
If you did it right, you will end up with this table:
1 | 5 | 17 | 85 | 223 | 1,115 | 3,791 | 18,955 |
-1 | -5 | -17 | -85 | -223 | -1,115 | -3,791 | -18,955 |
Here are some more numbers to try:
Try the factor calculator