Q: What are the factor combinations of the number 18,875?
A:
Positive:
1 x 188755 x 377525 x 755125 x 151
Negative:
-1 x -18875-5 x -3775-25 x -755-125 x -151
A:
Positive:
1 x 188755 x 377525 x 755125 x 151
Negative:
-1 x -18875-5 x -3775-25 x -755-125 x -151
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 18,875, 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 | 18,875 | |
-1 | -18,875 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 18,875.
Example:
1 x 18,875 = 18,875
and
-1 x -18,875 = 18,875
Notice both answers equal 18,875
With that explanation out of the way, let's continue. Next, we take the number 18,875 and divide it by 2:
18,875 ÷ 2 = 9,437.5
If the quotient is a whole number, then 2 and 9,437.5 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 | 18,875 | |
-1 | -18,875 |
Now, we try dividing 18,875 by 3:
18,875 ÷ 3 = 6,291.6667
If the quotient is a whole number, then 3 and 6,291.6667 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 | 18,875 | |
-1 | -18,875 |
Let's try dividing by 4:
18,875 ÷ 4 = 4,718.75
If the quotient is a whole number, then 4 and 4,718.75 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 | 18,875 | |
-1 | 18,875 |
If you did it right, you will end up with this table:
1 | 5 | 25 | 125 | 151 | 755 | 3,775 | 18,875 |
-1 | -5 | -25 | -125 | -151 | -755 | -3,775 | -18,875 |
Here are some more numbers to try:
Try the factor calculator