A:
Positive:
1 x 51122116111 x 4647465117 x 3007183323 x 22227007187 x 2733803253 x 2020637391 x 13074714301 x 118861
Negative:
-1 x -511221161-11 x -46474651-17 x -30071833-23 x -22227007-187 x -2733803-253 x -2020637-391 x -1307471-4301 x -118861
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 511,221,161, 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 | 511,221,161 | |
| -1 | -511,221,161 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 511,221,161.
Example:
1 x 511,221,161 = 511,221,161
and
-1 x -511,221,161 = 511,221,161
Notice both answers equal 511,221,161
With that explanation out of the way, let's continue. Next, we take the number 511,221,161 and divide it by 2:
511,221,161 ÷ 2 = 255,610,580.5
If the quotient is a whole number, then 2 and 255,610,580.5 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 | 511,221,161 | |
| -1 | -511,221,161 |
Now, we try dividing 511,221,161 by 3:
511,221,161 ÷ 3 = 170,407,053.6667
If the quotient is a whole number, then 3 and 170,407,053.6667 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 | 511,221,161 | |
| -1 | -511,221,161 |
Let's try dividing by 4:
511,221,161 ÷ 4 = 127,805,290.25
If the quotient is a whole number, then 4 and 127,805,290.25 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 | 511,221,161 | |
| -1 | 511,221,161 |
If you did it right, you will end up with this table:
| 1 | 11 | 17 | 23 | 187 | 253 | 391 | 4,301 | 118,861 | 1,307,471 | 2,020,637 | 2,733,803 | 22,227,007 | 30,071,833 | 46,474,651 | 511,221,161 |
| -1 | -11 | -17 | -23 | -187 | -253 | -391 | -4,301 | -118,861 | -1,307,471 | -2,020,637 | -2,733,803 | -22,227,007 | -30,071,833 | -46,474,651 | -511,221,161 |
Here are some more numbers to try:
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