Q: What are the factor combinations of the number 871,187?
A:
Positive:
1 x 871187233 x 3739
Negative:
-1 x -871187-233 x -3739
A:
Positive:
1 x 871187233 x 3739
Negative:
-1 x -871187-233 x -3739
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 871,187, 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 | 871,187 | |
-1 | -871,187 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 871,187.
Example:
1 x 871,187 = 871,187
and
-1 x -871,187 = 871,187
Notice both answers equal 871,187
With that explanation out of the way, let's continue. Next, we take the number 871,187 and divide it by 2:
871,187 ÷ 2 = 435,593.5
If the quotient is a whole number, then 2 and 435,593.5 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 | 871,187 | |
-1 | -871,187 |
Now, we try dividing 871,187 by 3:
871,187 ÷ 3 = 290,395.6667
If the quotient is a whole number, then 3 and 290,395.6667 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 | 871,187 | |
-1 | -871,187 |
Let's try dividing by 4:
871,187 ÷ 4 = 217,796.75
If the quotient is a whole number, then 4 and 217,796.75 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 | 871,187 | |
-1 | 871,187 |
If you did it right, you will end up with this table:
1 | 233 | 3,739 | 871,187 |
-1 | -233 | -3,739 | -871,187 |
Here are some more numbers to try:
Try the factor calculator