A:
Positive:
1 x 20112144117 x 1183067319 x 1058533941 x 4905401323 x 622667697 x 288553779 x 25817913243 x 15187
Negative:
-1 x -201121441-17 x -11830673-19 x -10585339-41 x -4905401-323 x -622667-697 x -288553-779 x -258179-13243 x -15187
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 201,121,441, 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 | 201,121,441 | |
| -1 | -201,121,441 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 201,121,441.
Example:
1 x 201,121,441 = 201,121,441
and
-1 x -201,121,441 = 201,121,441
Notice both answers equal 201,121,441
With that explanation out of the way, let's continue. Next, we take the number 201,121,441 and divide it by 2:
201,121,441 ÷ 2 = 100,560,720.5
If the quotient is a whole number, then 2 and 100,560,720.5 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 | 201,121,441 | |
| -1 | -201,121,441 |
Now, we try dividing 201,121,441 by 3:
201,121,441 ÷ 3 = 67,040,480.3333
If the quotient is a whole number, then 3 and 67,040,480.3333 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 | 201,121,441 | |
| -1 | -201,121,441 |
Let's try dividing by 4:
201,121,441 ÷ 4 = 50,280,360.25
If the quotient is a whole number, then 4 and 50,280,360.25 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 | 201,121,441 | |
| -1 | 201,121,441 |
If you did it right, you will end up with this table:
| 1 | 17 | 19 | 41 | 323 | 697 | 779 | 13,243 | 15,187 | 258,179 | 288,553 | 622,667 | 4,905,401 | 10,585,339 | 11,830,673 | 201,121,441 |
| -1 | -17 | -19 | -41 | -323 | -697 | -779 | -13,243 | -15,187 | -258,179 | -288,553 | -622,667 | -4,905,401 | -10,585,339 | -11,830,673 | -201,121,441 |
Here are some more numbers to try:
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