Q: What are the factor combinations of the number 112,517?
A:
Positive:
1 x 11251737 x 3041
Negative:
-1 x -112517-37 x -3041
A:
Positive:
1 x 11251737 x 3041
Negative:
-1 x -112517-37 x -3041
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 112,517, 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 | 112,517 | |
-1 | -112,517 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 112,517.
Example:
1 x 112,517 = 112,517
and
-1 x -112,517 = 112,517
Notice both answers equal 112,517
With that explanation out of the way, let's continue. Next, we take the number 112,517 and divide it by 2:
112,517 ÷ 2 = 56,258.5
If the quotient is a whole number, then 2 and 56,258.5 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 | 112,517 | |
-1 | -112,517 |
Now, we try dividing 112,517 by 3:
112,517 ÷ 3 = 37,505.6667
If the quotient is a whole number, then 3 and 37,505.6667 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 | 112,517 | |
-1 | -112,517 |
Let's try dividing by 4:
112,517 ÷ 4 = 28,129.25
If the quotient is a whole number, then 4 and 28,129.25 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 | 112,517 | |
-1 | 112,517 |
If you did it right, you will end up with this table:
1 | 37 | 3,041 | 112,517 |
-1 | -37 | -3,041 | -112,517 |
Here are some more numbers to try:
Try the factor calculator