Q: What are the factor combinations of the number 13,031?
A:
Positive:
1 x 1303183 x 157
Negative:
-1 x -13031-83 x -157
A:
Positive:
1 x 1303183 x 157
Negative:
-1 x -13031-83 x -157
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 13,031, 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 | 13,031 | |
-1 | -13,031 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 13,031.
Example:
1 x 13,031 = 13,031
and
-1 x -13,031 = 13,031
Notice both answers equal 13,031
With that explanation out of the way, let's continue. Next, we take the number 13,031 and divide it by 2:
13,031 ÷ 2 = 6,515.5
If the quotient is a whole number, then 2 and 6,515.5 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 | 13,031 | |
-1 | -13,031 |
Now, we try dividing 13,031 by 3:
13,031 ÷ 3 = 4,343.6667
If the quotient is a whole number, then 3 and 4,343.6667 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 | 13,031 | |
-1 | -13,031 |
Let's try dividing by 4:
13,031 ÷ 4 = 3,257.75
If the quotient is a whole number, then 4 and 3,257.75 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 | 13,031 | |
-1 | 13,031 |
If you did it right, you will end up with this table:
1 | 83 | 157 | 13,031 |
-1 | -83 | -157 | -13,031 |
Here are some more numbers to try:
Try the factor calculator