Q: What are the factor combinations of the number 16,375?
A:
Positive:
1 x 163755 x 327525 x 655125 x 131
Negative:
-1 x -16375-5 x -3275-25 x -655-125 x -131
A:
Positive:
1 x 163755 x 327525 x 655125 x 131
Negative:
-1 x -16375-5 x -3275-25 x -655-125 x -131
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 16,375, 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 | 16,375 | |
-1 | -16,375 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 16,375.
Example:
1 x 16,375 = 16,375
and
-1 x -16,375 = 16,375
Notice both answers equal 16,375
With that explanation out of the way, let's continue. Next, we take the number 16,375 and divide it by 2:
16,375 ÷ 2 = 8,187.5
If the quotient is a whole number, then 2 and 8,187.5 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 | 16,375 | |
-1 | -16,375 |
Now, we try dividing 16,375 by 3:
16,375 ÷ 3 = 5,458.3333
If the quotient is a whole number, then 3 and 5,458.3333 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 | 16,375 | |
-1 | -16,375 |
Let's try dividing by 4:
16,375 ÷ 4 = 4,093.75
If the quotient is a whole number, then 4 and 4,093.75 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 | 16,375 | |
-1 | 16,375 |
If you did it right, you will end up with this table:
1 | 5 | 25 | 125 | 131 | 655 | 3,275 | 16,375 |
-1 | -5 | -25 | -125 | -131 | -655 | -3,275 | -16,375 |
Here are some more numbers to try:
Try the factor calculator