A:
Positive:
1 x 20122543111 x 1829322171 x 2834161101 x 1992331781 x 2576511111 x 1811212551 x 788817171 x 28061
Negative:
-1 x -201225431-11 x -18293221-71 x -2834161-101 x -1992331-781 x -257651-1111 x -181121-2551 x -78881-7171 x -28061
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 201,225,431, 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 | 201,225,431 | |
| -1 | -201,225,431 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 201,225,431.
Example:
1 x 201,225,431 = 201,225,431
and
-1 x -201,225,431 = 201,225,431
Notice both answers equal 201,225,431
With that explanation out of the way, let's continue. Next, we take the number 201,225,431 and divide it by 2:
201,225,431 ÷ 2 = 100,612,715.5
If the quotient is a whole number, then 2 and 100,612,715.5 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 | 201,225,431 | |
| -1 | -201,225,431 |
Now, we try dividing 201,225,431 by 3:
201,225,431 ÷ 3 = 67,075,143.6667
If the quotient is a whole number, then 3 and 67,075,143.6667 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 | 201,225,431 | |
| -1 | -201,225,431 |
Let's try dividing by 4:
201,225,431 ÷ 4 = 50,306,357.75
If the quotient is a whole number, then 4 and 50,306,357.75 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 | 201,225,431 | |
| -1 | 201,225,431 |
If you did it right, you will end up with this table:
| 1 | 11 | 71 | 101 | 781 | 1,111 | 2,551 | 7,171 | 28,061 | 78,881 | 181,121 | 257,651 | 1,992,331 | 2,834,161 | 18,293,221 | 201,225,431 |
| -1 | -11 | -71 | -101 | -781 | -1,111 | -2,551 | -7,171 | -28,061 | -78,881 | -181,121 | -257,651 | -1,992,331 | -2,834,161 | -18,293,221 | -201,225,431 |
Here are some more numbers to try:
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