A:
Positive:
1 x 12275002311 x 1115909341 x 2993903109 x 1126147121 x 1014463227 x 540749451 x 2721731199 x 1023772497 x 491594469 x 274674961 x 247439307 x 13189
Negative:
-1 x -122750023-11 x -11159093-41 x -2993903-109 x -1126147-121 x -1014463-227 x -540749-451 x -272173-1199 x -102377-2497 x -49159-4469 x -27467-4961 x -24743-9307 x -13189
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 122,750,023, 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 | 122,750,023 | |
| -1 | -122,750,023 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 122,750,023.
Example:
1 x 122,750,023 = 122,750,023
and
-1 x -122,750,023 = 122,750,023
Notice both answers equal 122,750,023
With that explanation out of the way, let's continue. Next, we take the number 122,750,023 and divide it by 2:
122,750,023 ÷ 2 = 61,375,011.5
If the quotient is a whole number, then 2 and 61,375,011.5 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 | 122,750,023 | |
| -1 | -122,750,023 |
Now, we try dividing 122,750,023 by 3:
122,750,023 ÷ 3 = 40,916,674.3333
If the quotient is a whole number, then 3 and 40,916,674.3333 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 | 122,750,023 | |
| -1 | -122,750,023 |
Let's try dividing by 4:
122,750,023 ÷ 4 = 30,687,505.75
If the quotient is a whole number, then 4 and 30,687,505.75 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 | 122,750,023 | |
| -1 | 122,750,023 |
If you did it right, you will end up with this table:
| 1 | 11 | 41 | 109 | 121 | 227 | 451 | 1,199 | 2,497 | 4,469 | 4,961 | 9,307 | 13,189 | 24,743 | 27,467 | 49,159 | 102,377 | 272,173 | 540,749 | 1,014,463 | 1,126,147 | 2,993,903 | 11,159,093 | 122,750,023 |
| -1 | -11 | -41 | -109 | -121 | -227 | -451 | -1,199 | -2,497 | -4,469 | -4,961 | -9,307 | -13,189 | -24,743 | -27,467 | -49,159 | -102,377 | -272,173 | -540,749 | -1,014,463 | -1,126,147 | -2,993,903 | -11,159,093 | -122,750,023 |
Here are some more numbers to try:
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