Q: What are the factor combinations of the number 18,139?
A:
Positive:
1 x 1813911 x 164917 x 106797 x 187
Negative:
-1 x -18139-11 x -1649-17 x -1067-97 x -187
A:
Positive:
1 x 1813911 x 164917 x 106797 x 187
Negative:
-1 x -18139-11 x -1649-17 x -1067-97 x -187
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 18,139, 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 | 18,139 | |
-1 | -18,139 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 18,139.
Example:
1 x 18,139 = 18,139
and
-1 x -18,139 = 18,139
Notice both answers equal 18,139
With that explanation out of the way, let's continue. Next, we take the number 18,139 and divide it by 2:
18,139 ÷ 2 = 9,069.5
If the quotient is a whole number, then 2 and 9,069.5 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 | 18,139 | |
-1 | -18,139 |
Now, we try dividing 18,139 by 3:
18,139 ÷ 3 = 6,046.3333
If the quotient is a whole number, then 3 and 6,046.3333 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 | 18,139 | |
-1 | -18,139 |
Let's try dividing by 4:
18,139 ÷ 4 = 4,534.75
If the quotient is a whole number, then 4 and 4,534.75 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 | 18,139 | |
-1 | 18,139 |
If you did it right, you will end up with this table:
1 | 11 | 17 | 97 | 187 | 1,067 | 1,649 | 18,139 |
-1 | -11 | -17 | -97 | -187 | -1,067 | -1,649 | -18,139 |
Here are some more numbers to try:
Try the factor calculator