Q: What are the factor combinations of the number 41,069?
A:
Positive:
1 x 410697 x 5867
Negative:
-1 x -41069-7 x -5867
A:
Positive:
1 x 410697 x 5867
Negative:
-1 x -41069-7 x -5867
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 41,069, 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 | 41,069 | |
-1 | -41,069 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 41,069.
Example:
1 x 41,069 = 41,069
and
-1 x -41,069 = 41,069
Notice both answers equal 41,069
With that explanation out of the way, let's continue. Next, we take the number 41,069 and divide it by 2:
41,069 ÷ 2 = 20,534.5
If the quotient is a whole number, then 2 and 20,534.5 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 | 41,069 | |
-1 | -41,069 |
Now, we try dividing 41,069 by 3:
41,069 ÷ 3 = 13,689.6667
If the quotient is a whole number, then 3 and 13,689.6667 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 | 41,069 | |
-1 | -41,069 |
Let's try dividing by 4:
41,069 ÷ 4 = 10,267.25
If the quotient is a whole number, then 4 and 10,267.25 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 | 41,069 | |
-1 | 41,069 |
If you did it right, you will end up with this table:
1 | 7 | 5,867 | 41,069 |
-1 | -7 | -5,867 | -41,069 |
Here are some more numbers to try:
Try the factor calculator