A:
Positive:
1 x 2712012317 x 3874303319 x 1427374937 x 732976349 x 5534719133 x 2039107259 x 1047109703 x 385777931 x 2913011813 x 1495874921 x 551117873 x 34447
Negative:
-1 x -271201231-7 x -38743033-19 x -14273749-37 x -7329763-49 x -5534719-133 x -2039107-259 x -1047109-703 x -385777-931 x -291301-1813 x -149587-4921 x -55111-7873 x -34447
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 271,201,231, 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 | 271,201,231 | |
| -1 | -271,201,231 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 271,201,231.
Example:
1 x 271,201,231 = 271,201,231
and
-1 x -271,201,231 = 271,201,231
Notice both answers equal 271,201,231
With that explanation out of the way, let's continue. Next, we take the number 271,201,231 and divide it by 2:
271,201,231 ÷ 2 = 135,600,615.5
If the quotient is a whole number, then 2 and 135,600,615.5 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 | 271,201,231 | |
| -1 | -271,201,231 |
Now, we try dividing 271,201,231 by 3:
271,201,231 ÷ 3 = 90,400,410.3333
If the quotient is a whole number, then 3 and 90,400,410.3333 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 | 271,201,231 | |
| -1 | -271,201,231 |
Let's try dividing by 4:
271,201,231 ÷ 4 = 67,800,307.75
If the quotient is a whole number, then 4 and 67,800,307.75 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 | 271,201,231 | |
| -1 | 271,201,231 |
If you did it right, you will end up with this table:
| 1 | 7 | 19 | 37 | 49 | 133 | 259 | 703 | 931 | 1,813 | 4,921 | 7,873 | 34,447 | 55,111 | 149,587 | 291,301 | 385,777 | 1,047,109 | 2,039,107 | 5,534,719 | 7,329,763 | 14,273,749 | 38,743,033 | 271,201,231 |
| -1 | -7 | -19 | -37 | -49 | -133 | -259 | -703 | -931 | -1,813 | -4,921 | -7,873 | -34,447 | -55,111 | -149,587 | -291,301 | -385,777 | -1,047,109 | -2,039,107 | -5,534,719 | -7,329,763 | -14,273,749 | -38,743,033 | -271,201,231 |
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