Q: What are the factor combinations of the number 31,027?
A:
Positive:
1 x 3102719 x 163323 x 134971 x 437
Negative:
-1 x -31027-19 x -1633-23 x -1349-71 x -437
A:
Positive:
1 x 3102719 x 163323 x 134971 x 437
Negative:
-1 x -31027-19 x -1633-23 x -1349-71 x -437
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 31,027, 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 | 31,027 | |
-1 | -31,027 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 31,027.
Example:
1 x 31,027 = 31,027
and
-1 x -31,027 = 31,027
Notice both answers equal 31,027
With that explanation out of the way, let's continue. Next, we take the number 31,027 and divide it by 2:
31,027 ÷ 2 = 15,513.5
If the quotient is a whole number, then 2 and 15,513.5 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 | 31,027 | |
-1 | -31,027 |
Now, we try dividing 31,027 by 3:
31,027 ÷ 3 = 10,342.3333
If the quotient is a whole number, then 3 and 10,342.3333 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 | 31,027 | |
-1 | -31,027 |
Let's try dividing by 4:
31,027 ÷ 4 = 7,756.75
If the quotient is a whole number, then 4 and 7,756.75 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 | 31,027 | |
-1 | 31,027 |
If you did it right, you will end up with this table:
1 | 19 | 23 | 71 | 437 | 1,349 | 1,633 | 31,027 |
-1 | -19 | -23 | -71 | -437 | -1,349 | -1,633 | -31,027 |
Here are some more numbers to try:
Try the factor calculator