Q: What are the factor combinations of the number 41,167?
A:
Positive:
1 x 411677 x 5881
Negative:
-1 x -41167-7 x -5881
A:
Positive:
1 x 411677 x 5881
Negative:
-1 x -41167-7 x -5881
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 41,167, 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 | 41,167 | |
-1 | -41,167 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 41,167.
Example:
1 x 41,167 = 41,167
and
-1 x -41,167 = 41,167
Notice both answers equal 41,167
With that explanation out of the way, let's continue. Next, we take the number 41,167 and divide it by 2:
41,167 ÷ 2 = 20,583.5
If the quotient is a whole number, then 2 and 20,583.5 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 | 41,167 | |
-1 | -41,167 |
Now, we try dividing 41,167 by 3:
41,167 ÷ 3 = 13,722.3333
If the quotient is a whole number, then 3 and 13,722.3333 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 | 41,167 | |
-1 | -41,167 |
Let's try dividing by 4:
41,167 ÷ 4 = 10,291.75
If the quotient is a whole number, then 4 and 10,291.75 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 | 41,167 | |
-1 | 41,167 |
If you did it right, you will end up with this table:
1 | 7 | 5,881 | 41,167 |
-1 | -7 | -5,881 | -41,167 |
Here are some more numbers to try:
Try the factor calculator