A:
Positive:
1 x 1145312217 x 1636160319 x 602795961 x 1877561133 x 861137361 x 317261427 x 268223743 x 1541471159 x 988192527 x 453235201 x 220218113 x 14117
Negative:
-1 x -114531221-7 x -16361603-19 x -6027959-61 x -1877561-133 x -861137-361 x -317261-427 x -268223-743 x -154147-1159 x -98819-2527 x -45323-5201 x -22021-8113 x -14117
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 114,531,221, 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 | 114,531,221 | |
| -1 | -114,531,221 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 114,531,221.
Example:
1 x 114,531,221 = 114,531,221
and
-1 x -114,531,221 = 114,531,221
Notice both answers equal 114,531,221
With that explanation out of the way, let's continue. Next, we take the number 114,531,221 and divide it by 2:
114,531,221 ÷ 2 = 57,265,610.5
If the quotient is a whole number, then 2 and 57,265,610.5 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 | 114,531,221 | |
| -1 | -114,531,221 |
Now, we try dividing 114,531,221 by 3:
114,531,221 ÷ 3 = 38,177,073.6667
If the quotient is a whole number, then 3 and 38,177,073.6667 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 | 114,531,221 | |
| -1 | -114,531,221 |
Let's try dividing by 4:
114,531,221 ÷ 4 = 28,632,805.25
If the quotient is a whole number, then 4 and 28,632,805.25 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 | 114,531,221 | |
| -1 | 114,531,221 |
If you did it right, you will end up with this table:
| 1 | 7 | 19 | 61 | 133 | 361 | 427 | 743 | 1,159 | 2,527 | 5,201 | 8,113 | 14,117 | 22,021 | 45,323 | 98,819 | 154,147 | 268,223 | 317,261 | 861,137 | 1,877,561 | 6,027,959 | 16,361,603 | 114,531,221 |
| -1 | -7 | -19 | -61 | -133 | -361 | -427 | -743 | -1,159 | -2,527 | -5,201 | -8,113 | -14,117 | -22,021 | -45,323 | -98,819 | -154,147 | -268,223 | -317,261 | -861,137 | -1,877,561 | -6,027,959 | -16,361,603 | -114,531,221 |
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