A:
Positive:
1 x 2016330197 x 2880471723 x 8766653113 x 1784363161 x 1252379791 x 2549092599 x 7758111083 x 18193
Negative:
-1 x -201633019-7 x -28804717-23 x -8766653-113 x -1784363-161 x -1252379-791 x -254909-2599 x -77581-11083 x -18193
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 201,633,019, 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 | 201,633,019 | |
| -1 | -201,633,019 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 201,633,019.
Example:
1 x 201,633,019 = 201,633,019
and
-1 x -201,633,019 = 201,633,019
Notice both answers equal 201,633,019
With that explanation out of the way, let's continue. Next, we take the number 201,633,019 and divide it by 2:
201,633,019 ÷ 2 = 100,816,509.5
If the quotient is a whole number, then 2 and 100,816,509.5 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 | 201,633,019 | |
| -1 | -201,633,019 |
Now, we try dividing 201,633,019 by 3:
201,633,019 ÷ 3 = 67,211,006.3333
If the quotient is a whole number, then 3 and 67,211,006.3333 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 | 201,633,019 | |
| -1 | -201,633,019 |
Let's try dividing by 4:
201,633,019 ÷ 4 = 50,408,254.75
If the quotient is a whole number, then 4 and 50,408,254.75 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 | 201,633,019 | |
| -1 | 201,633,019 |
If you did it right, you will end up with this table:
| 1 | 7 | 23 | 113 | 161 | 791 | 2,599 | 11,083 | 18,193 | 77,581 | 254,909 | 1,252,379 | 1,784,363 | 8,766,653 | 28,804,717 | 201,633,019 |
| -1 | -7 | -23 | -113 | -161 | -791 | -2,599 | -11,083 | -18,193 | -77,581 | -254,909 | -1,252,379 | -1,784,363 | -8,766,653 | -28,804,717 | -201,633,019 |
Here are some more numbers to try:
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