A:
Positive:
1 x 2016272097 x 2880388749 x 4114841101 x 1996309131 x 1539139311 x 648319707 x 285187917 x 2198772177 x 926174949 x 407416419 x 3141113231 x 15239
Negative:
-1 x -201627209-7 x -28803887-49 x -4114841-101 x -1996309-131 x -1539139-311 x -648319-707 x -285187-917 x -219877-2177 x -92617-4949 x -40741-6419 x -31411-13231 x -15239
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 201,627,209, 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 | 201,627,209 | |
| -1 | -201,627,209 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 201,627,209.
Example:
1 x 201,627,209 = 201,627,209
and
-1 x -201,627,209 = 201,627,209
Notice both answers equal 201,627,209
With that explanation out of the way, let's continue. Next, we take the number 201,627,209 and divide it by 2:
201,627,209 ÷ 2 = 100,813,604.5
If the quotient is a whole number, then 2 and 100,813,604.5 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 | 201,627,209 | |
| -1 | -201,627,209 |
Now, we try dividing 201,627,209 by 3:
201,627,209 ÷ 3 = 67,209,069.6667
If the quotient is a whole number, then 3 and 67,209,069.6667 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 | 201,627,209 | |
| -1 | -201,627,209 |
Let's try dividing by 4:
201,627,209 ÷ 4 = 50,406,802.25
If the quotient is a whole number, then 4 and 50,406,802.25 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 | 201,627,209 | |
| -1 | 201,627,209 |
If you did it right, you will end up with this table:
| 1 | 7 | 49 | 101 | 131 | 311 | 707 | 917 | 2,177 | 4,949 | 6,419 | 13,231 | 15,239 | 31,411 | 40,741 | 92,617 | 219,877 | 285,187 | 648,319 | 1,539,139 | 1,996,309 | 4,114,841 | 28,803,887 | 201,627,209 |
| -1 | -7 | -49 | -101 | -131 | -311 | -707 | -917 | -2,177 | -4,949 | -6,419 | -13,231 | -15,239 | -31,411 | -40,741 | -92,617 | -219,877 | -285,187 | -648,319 | -1,539,139 | -1,996,309 | -4,114,841 | -28,803,887 | -201,627,209 |
Here are some more numbers to try:
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