A:
Positive:
1 x 411419755 x 82283957 x 587742525 x 164567935 x 1175485175 x 235097233 x 1765751009 x 407751165 x 353151631 x 252255045 x 81555825 x 7063
Negative:
-1 x -41141975-5 x -8228395-7 x -5877425-25 x -1645679-35 x -1175485-175 x -235097-233 x -176575-1009 x -40775-1165 x -35315-1631 x -25225-5045 x -8155-5825 x -7063
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 41,141,975, 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 | 41,141,975 | |
| -1 | -41,141,975 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 41,141,975.
Example:
1 x 41,141,975 = 41,141,975
and
-1 x -41,141,975 = 41,141,975
Notice both answers equal 41,141,975
With that explanation out of the way, let's continue. Next, we take the number 41,141,975 and divide it by 2:
41,141,975 ÷ 2 = 20,570,987.5
If the quotient is a whole number, then 2 and 20,570,987.5 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 | 41,141,975 | |
| -1 | -41,141,975 |
Now, we try dividing 41,141,975 by 3:
41,141,975 ÷ 3 = 13,713,991.6667
If the quotient is a whole number, then 3 and 13,713,991.6667 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 | 41,141,975 | |
| -1 | -41,141,975 |
Let's try dividing by 4:
41,141,975 ÷ 4 = 10,285,493.75
If the quotient is a whole number, then 4 and 10,285,493.75 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 | 41,141,975 | |
| -1 | 41,141,975 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 25 | 35 | 175 | 233 | 1,009 | 1,165 | 1,631 | 5,045 | 5,825 | 7,063 | 8,155 | 25,225 | 35,315 | 40,775 | 176,575 | 235,097 | 1,175,485 | 1,645,679 | 5,877,425 | 8,228,395 | 41,141,975 |
| -1 | -5 | -7 | -25 | -35 | -175 | -233 | -1,009 | -1,165 | -1,631 | -5,045 | -5,825 | -7,063 | -8,155 | -25,225 | -35,315 | -40,775 | -176,575 | -235,097 | -1,175,485 | -1,645,679 | -5,877,425 | -8,228,395 | -41,141,975 |
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