Q: What are the factor combinations of the number 331,163?
A:
Positive:
1 x 3311637 x 47309
Negative:
-1 x -331163-7 x -47309
A:
Positive:
1 x 3311637 x 47309
Negative:
-1 x -331163-7 x -47309
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 331,163, 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 | 331,163 | |
-1 | -331,163 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 331,163.
Example:
1 x 331,163 = 331,163
and
-1 x -331,163 = 331,163
Notice both answers equal 331,163
With that explanation out of the way, let's continue. Next, we take the number 331,163 and divide it by 2:
331,163 ÷ 2 = 165,581.5
If the quotient is a whole number, then 2 and 165,581.5 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 | 331,163 | |
-1 | -331,163 |
Now, we try dividing 331,163 by 3:
331,163 ÷ 3 = 110,387.6667
If the quotient is a whole number, then 3 and 110,387.6667 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 | 331,163 | |
-1 | -331,163 |
Let's try dividing by 4:
331,163 ÷ 4 = 82,790.75
If the quotient is a whole number, then 4 and 82,790.75 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 | 331,163 | |
-1 | 331,163 |
If you did it right, you will end up with this table:
1 | 7 | 47,309 | 331,163 |
-1 | -7 | -47,309 | -331,163 |
Here are some more numbers to try:
Try the factor calculator