Q: What are the factor combinations of the number 40,795?
A:
Positive:
1 x 407955 x 815941 x 995199 x 205
Negative:
-1 x -40795-5 x -8159-41 x -995-199 x -205
A:
Positive:
1 x 407955 x 815941 x 995199 x 205
Negative:
-1 x -40795-5 x -8159-41 x -995-199 x -205
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 40,795, 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 | 40,795 | |
-1 | -40,795 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 40,795.
Example:
1 x 40,795 = 40,795
and
-1 x -40,795 = 40,795
Notice both answers equal 40,795
With that explanation out of the way, let's continue. Next, we take the number 40,795 and divide it by 2:
40,795 ÷ 2 = 20,397.5
If the quotient is a whole number, then 2 and 20,397.5 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 | 40,795 | |
-1 | -40,795 |
Now, we try dividing 40,795 by 3:
40,795 ÷ 3 = 13,598.3333
If the quotient is a whole number, then 3 and 13,598.3333 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 | 40,795 | |
-1 | -40,795 |
Let's try dividing by 4:
40,795 ÷ 4 = 10,198.75
If the quotient is a whole number, then 4 and 10,198.75 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 | 40,795 | |
-1 | 40,795 |
If you did it right, you will end up with this table:
1 | 5 | 41 | 199 | 205 | 995 | 8,159 | 40,795 |
-1 | -5 | -41 | -199 | -205 | -995 | -8,159 | -40,795 |
Here are some more numbers to try:
Try the factor calculator