Q: What are the factor combinations of the number 41,305?
A:
Positive:
1 x 413055 x 826111 x 375555 x 751
Negative:
-1 x -41305-5 x -8261-11 x -3755-55 x -751
A:
Positive:
1 x 413055 x 826111 x 375555 x 751
Negative:
-1 x -41305-5 x -8261-11 x -3755-55 x -751
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 41,305, 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 | 41,305 | |
-1 | -41,305 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 41,305.
Example:
1 x 41,305 = 41,305
and
-1 x -41,305 = 41,305
Notice both answers equal 41,305
With that explanation out of the way, let's continue. Next, we take the number 41,305 and divide it by 2:
41,305 ÷ 2 = 20,652.5
If the quotient is a whole number, then 2 and 20,652.5 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 | 41,305 | |
-1 | -41,305 |
Now, we try dividing 41,305 by 3:
41,305 ÷ 3 = 13,768.3333
If the quotient is a whole number, then 3 and 13,768.3333 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 | 41,305 | |
-1 | -41,305 |
Let's try dividing by 4:
41,305 ÷ 4 = 10,326.25
If the quotient is a whole number, then 4 and 10,326.25 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 | 41,305 | |
-1 | 41,305 |
If you did it right, you will end up with this table:
1 | 5 | 11 | 55 | 751 | 3,755 | 8,261 | 41,305 |
-1 | -5 | -11 | -55 | -751 | -3,755 | -8,261 | -41,305 |
Here are some more numbers to try:
Try the factor calculator