A:
Positive:
1 x 1227063117 x 1752947313 x 943894723 x 533505791 x 1348421161 x 762151299 x 410389529 x 2319592093 x 586272549 x 481393703 x 331376877 x 17843
Negative:
-1 x -122706311-7 x -17529473-13 x -9438947-23 x -5335057-91 x -1348421-161 x -762151-299 x -410389-529 x -231959-2093 x -58627-2549 x -48139-3703 x -33137-6877 x -17843
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 122,706,311, 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 | 122,706,311 | |
| -1 | -122,706,311 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 122,706,311.
Example:
1 x 122,706,311 = 122,706,311
and
-1 x -122,706,311 = 122,706,311
Notice both answers equal 122,706,311
With that explanation out of the way, let's continue. Next, we take the number 122,706,311 and divide it by 2:
122,706,311 ÷ 2 = 61,353,155.5
If the quotient is a whole number, then 2 and 61,353,155.5 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 | 122,706,311 | |
| -1 | -122,706,311 |
Now, we try dividing 122,706,311 by 3:
122,706,311 ÷ 3 = 40,902,103.6667
If the quotient is a whole number, then 3 and 40,902,103.6667 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 | 122,706,311 | |
| -1 | -122,706,311 |
Let's try dividing by 4:
122,706,311 ÷ 4 = 30,676,577.75
If the quotient is a whole number, then 4 and 30,676,577.75 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 | 122,706,311 | |
| -1 | 122,706,311 |
If you did it right, you will end up with this table:
| 1 | 7 | 13 | 23 | 91 | 161 | 299 | 529 | 2,093 | 2,549 | 3,703 | 6,877 | 17,843 | 33,137 | 48,139 | 58,627 | 231,959 | 410,389 | 762,151 | 1,348,421 | 5,335,057 | 9,438,947 | 17,529,473 | 122,706,311 |
| -1 | -7 | -13 | -23 | -91 | -161 | -299 | -529 | -2,093 | -2,549 | -3,703 | -6,877 | -17,843 | -33,137 | -48,139 | -58,627 | -231,959 | -410,389 | -762,151 | -1,348,421 | -5,335,057 | -9,438,947 | -17,529,473 | -122,706,311 |
Here are some more numbers to try:
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