A:
Positive:
1 x 2713771977 x 3876817113 x 2087516991 x 2982167233 x 11647091631 x 1663873029 x 8959312799 x 21203
Negative:
-1 x -271377197-7 x -38768171-13 x -20875169-91 x -2982167-233 x -1164709-1631 x -166387-3029 x -89593-12799 x -21203
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 271,377,197, 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 | 271,377,197 | |
| -1 | -271,377,197 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 271,377,197.
Example:
1 x 271,377,197 = 271,377,197
and
-1 x -271,377,197 = 271,377,197
Notice both answers equal 271,377,197
With that explanation out of the way, let's continue. Next, we take the number 271,377,197 and divide it by 2:
271,377,197 ÷ 2 = 135,688,598.5
If the quotient is a whole number, then 2 and 135,688,598.5 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 | 271,377,197 | |
| -1 | -271,377,197 |
Now, we try dividing 271,377,197 by 3:
271,377,197 ÷ 3 = 90,459,065.6667
If the quotient is a whole number, then 3 and 90,459,065.6667 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 | 271,377,197 | |
| -1 | -271,377,197 |
Let's try dividing by 4:
271,377,197 ÷ 4 = 67,844,299.25
If the quotient is a whole number, then 4 and 67,844,299.25 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 | 271,377,197 | |
| -1 | 271,377,197 |
If you did it right, you will end up with this table:
| 1 | 7 | 13 | 91 | 233 | 1,631 | 3,029 | 12,799 | 21,203 | 89,593 | 166,387 | 1,164,709 | 2,982,167 | 20,875,169 | 38,768,171 | 271,377,197 |
| -1 | -7 | -13 | -91 | -233 | -1,631 | -3,029 | -12,799 | -21,203 | -89,593 | -166,387 | -1,164,709 | -2,982,167 | -20,875,169 | -38,768,171 | -271,377,197 |
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