Q: What are the factor combinations of the number 31,165?
A:
Positive:
1 x 311655 x 623323 x 1355115 x 271
Negative:
-1 x -31165-5 x -6233-23 x -1355-115 x -271
A:
Positive:
1 x 311655 x 623323 x 1355115 x 271
Negative:
-1 x -31165-5 x -6233-23 x -1355-115 x -271
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 31,165, 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 | 31,165 | |
-1 | -31,165 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 31,165.
Example:
1 x 31,165 = 31,165
and
-1 x -31,165 = 31,165
Notice both answers equal 31,165
With that explanation out of the way, let's continue. Next, we take the number 31,165 and divide it by 2:
31,165 ÷ 2 = 15,582.5
If the quotient is a whole number, then 2 and 15,582.5 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 | 31,165 | |
-1 | -31,165 |
Now, we try dividing 31,165 by 3:
31,165 ÷ 3 = 10,388.3333
If the quotient is a whole number, then 3 and 10,388.3333 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 | 31,165 | |
-1 | -31,165 |
Let's try dividing by 4:
31,165 ÷ 4 = 7,791.25
If the quotient is a whole number, then 4 and 7,791.25 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 | 31,165 | |
-1 | 31,165 |
If you did it right, you will end up with this table:
1 | 5 | 23 | 115 | 271 | 1,355 | 6,233 | 31,165 |
-1 | -5 | -23 | -115 | -271 | -1,355 | -6,233 | -31,165 |
Here are some more numbers to try:
Try the factor calculator