Q: What are the factor combinations of the number 41,789?
A:
Positive:
1 x 4178911 x 379929 x 1441131 x 319
Negative:
-1 x -41789-11 x -3799-29 x -1441-131 x -319
A:
Positive:
1 x 4178911 x 379929 x 1441131 x 319
Negative:
-1 x -41789-11 x -3799-29 x -1441-131 x -319
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 41,789, 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 | 41,789 | |
-1 | -41,789 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 41,789.
Example:
1 x 41,789 = 41,789
and
-1 x -41,789 = 41,789
Notice both answers equal 41,789
With that explanation out of the way, let's continue. Next, we take the number 41,789 and divide it by 2:
41,789 ÷ 2 = 20,894.5
If the quotient is a whole number, then 2 and 20,894.5 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 | 41,789 | |
-1 | -41,789 |
Now, we try dividing 41,789 by 3:
41,789 ÷ 3 = 13,929.6667
If the quotient is a whole number, then 3 and 13,929.6667 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 | 41,789 | |
-1 | -41,789 |
Let's try dividing by 4:
41,789 ÷ 4 = 10,447.25
If the quotient is a whole number, then 4 and 10,447.25 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 | 41,789 | |
-1 | 41,789 |
If you did it right, you will end up with this table:
1 | 11 | 29 | 131 | 319 | 1,441 | 3,799 | 41,789 |
-1 | -11 | -29 | -131 | -319 | -1,441 | -3,799 | -41,789 |
Here are some more numbers to try:
Try the factor calculator