Q: What are the factor combinations of the number 871,927?
A:
Positive:
1 x 8719277 x 124561
Negative:
-1 x -871927-7 x -124561
A:
Positive:
1 x 8719277 x 124561
Negative:
-1 x -871927-7 x -124561
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 871,927, 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 | 871,927 | |
-1 | -871,927 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 871,927.
Example:
1 x 871,927 = 871,927
and
-1 x -871,927 = 871,927
Notice both answers equal 871,927
With that explanation out of the way, let's continue. Next, we take the number 871,927 and divide it by 2:
871,927 ÷ 2 = 435,963.5
If the quotient is a whole number, then 2 and 435,963.5 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 | 871,927 | |
-1 | -871,927 |
Now, we try dividing 871,927 by 3:
871,927 ÷ 3 = 290,642.3333
If the quotient is a whole number, then 3 and 290,642.3333 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 | 871,927 | |
-1 | -871,927 |
Let's try dividing by 4:
871,927 ÷ 4 = 217,981.75
If the quotient is a whole number, then 4 and 217,981.75 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 | 871,927 | |
-1 | 871,927 |
If you did it right, you will end up with this table:
1 | 7 | 124,561 | 871,927 |
-1 | -7 | -124,561 | -871,927 |
Here are some more numbers to try:
Try the factor calculator