A:
Positive:
1 x 1311622277 x 1873746153 x 2474759349 x 375823371 x 3535371013 x 1294792443 x 536897091 x 18497
Negative:
-1 x -131162227-7 x -18737461-53 x -2474759-349 x -375823-371 x -353537-1013 x -129479-2443 x -53689-7091 x -18497
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 131,162,227, 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 | 131,162,227 | |
| -1 | -131,162,227 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 131,162,227.
Example:
1 x 131,162,227 = 131,162,227
and
-1 x -131,162,227 = 131,162,227
Notice both answers equal 131,162,227
With that explanation out of the way, let's continue. Next, we take the number 131,162,227 and divide it by 2:
131,162,227 ÷ 2 = 65,581,113.5
If the quotient is a whole number, then 2 and 65,581,113.5 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 | 131,162,227 | |
| -1 | -131,162,227 |
Now, we try dividing 131,162,227 by 3:
131,162,227 ÷ 3 = 43,720,742.3333
If the quotient is a whole number, then 3 and 43,720,742.3333 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 | 131,162,227 | |
| -1 | -131,162,227 |
Let's try dividing by 4:
131,162,227 ÷ 4 = 32,790,556.75
If the quotient is a whole number, then 4 and 32,790,556.75 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 | 131,162,227 | |
| -1 | 131,162,227 |
If you did it right, you will end up with this table:
| 1 | 7 | 53 | 349 | 371 | 1,013 | 2,443 | 7,091 | 18,497 | 53,689 | 129,479 | 353,537 | 375,823 | 2,474,759 | 18,737,461 | 131,162,227 |
| -1 | -7 | -53 | -349 | -371 | -1,013 | -2,443 | -7,091 | -18,497 | -53,689 | -129,479 | -353,537 | -375,823 | -2,474,759 | -18,737,461 | -131,162,227 |
Here are some more numbers to try:
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