A:
Positive:
1 x 11474002111 x 1043091117 x 674941331 x 3701291187 x 613583341 x 336481527 x 2177235797 x 19793
Negative:
-1 x -114740021-11 x -10430911-17 x -6749413-31 x -3701291-187 x -613583-341 x -336481-527 x -217723-5797 x -19793
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 114,740,021, 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 | 114,740,021 | |
| -1 | -114,740,021 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 114,740,021.
Example:
1 x 114,740,021 = 114,740,021
and
-1 x -114,740,021 = 114,740,021
Notice both answers equal 114,740,021
With that explanation out of the way, let's continue. Next, we take the number 114,740,021 and divide it by 2:
114,740,021 ÷ 2 = 57,370,010.5
If the quotient is a whole number, then 2 and 57,370,010.5 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 | 114,740,021 | |
| -1 | -114,740,021 |
Now, we try dividing 114,740,021 by 3:
114,740,021 ÷ 3 = 38,246,673.6667
If the quotient is a whole number, then 3 and 38,246,673.6667 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 | 114,740,021 | |
| -1 | -114,740,021 |
Let's try dividing by 4:
114,740,021 ÷ 4 = 28,685,005.25
If the quotient is a whole number, then 4 and 28,685,005.25 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 | 114,740,021 | |
| -1 | 114,740,021 |
If you did it right, you will end up with this table:
| 1 | 11 | 17 | 31 | 187 | 341 | 527 | 5,797 | 19,793 | 217,723 | 336,481 | 613,583 | 3,701,291 | 6,749,413 | 10,430,911 | 114,740,021 |
| -1 | -11 | -17 | -31 | -187 | -341 | -527 | -5,797 | -19,793 | -217,723 | -336,481 | -613,583 | -3,701,291 | -6,749,413 | -10,430,911 | -114,740,021 |
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