Q: What are the factor combinations of the number 18,235?
A:
Positive:
1 x 182355 x 36477 x 260535 x 521
Negative:
-1 x -18235-5 x -3647-7 x -2605-35 x -521
A:
Positive:
1 x 182355 x 36477 x 260535 x 521
Negative:
-1 x -18235-5 x -3647-7 x -2605-35 x -521
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 18,235, 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 | 18,235 | |
-1 | -18,235 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 18,235.
Example:
1 x 18,235 = 18,235
and
-1 x -18,235 = 18,235
Notice both answers equal 18,235
With that explanation out of the way, let's continue. Next, we take the number 18,235 and divide it by 2:
18,235 ÷ 2 = 9,117.5
If the quotient is a whole number, then 2 and 9,117.5 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 | 18,235 | |
-1 | -18,235 |
Now, we try dividing 18,235 by 3:
18,235 ÷ 3 = 6,078.3333
If the quotient is a whole number, then 3 and 6,078.3333 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 | 18,235 | |
-1 | -18,235 |
Let's try dividing by 4:
18,235 ÷ 4 = 4,558.75
If the quotient is a whole number, then 4 and 4,558.75 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 | 18,235 | |
-1 | 18,235 |
If you did it right, you will end up with this table:
1 | 5 | 7 | 35 | 521 | 2,605 | 3,647 | 18,235 |
-1 | -5 | -7 | -35 | -521 | -2,605 | -3,647 | -18,235 |
Here are some more numbers to try:
Try the factor calculator