A:
Positive:
1 x 1270512111 x 115501113 x 97731741 x 309881121 x 105001143 x 88847197 x 64493451 x 28171533 x 238371573 x 80772167 x 58632561 x 4961
Negative:
-1 x -12705121-11 x -1155011-13 x -977317-41 x -309881-121 x -105001-143 x -88847-197 x -64493-451 x -28171-533 x -23837-1573 x -8077-2167 x -5863-2561 x -4961
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 12,705,121, 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 | 12,705,121 | |
| -1 | -12,705,121 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 12,705,121.
Example:
1 x 12,705,121 = 12,705,121
and
-1 x -12,705,121 = 12,705,121
Notice both answers equal 12,705,121
With that explanation out of the way, let's continue. Next, we take the number 12,705,121 and divide it by 2:
12,705,121 ÷ 2 = 6,352,560.5
If the quotient is a whole number, then 2 and 6,352,560.5 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 | 12,705,121 | |
| -1 | -12,705,121 |
Now, we try dividing 12,705,121 by 3:
12,705,121 ÷ 3 = 4,235,040.3333
If the quotient is a whole number, then 3 and 4,235,040.3333 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 | 12,705,121 | |
| -1 | -12,705,121 |
Let's try dividing by 4:
12,705,121 ÷ 4 = 3,176,280.25
If the quotient is a whole number, then 4 and 3,176,280.25 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 | 12,705,121 | |
| -1 | 12,705,121 |
If you did it right, you will end up with this table:
| 1 | 11 | 13 | 41 | 121 | 143 | 197 | 451 | 533 | 1,573 | 2,167 | 2,561 | 4,961 | 5,863 | 8,077 | 23,837 | 28,171 | 64,493 | 88,847 | 105,001 | 309,881 | 977,317 | 1,155,011 | 12,705,121 |
| -1 | -11 | -13 | -41 | -121 | -143 | -197 | -451 | -533 | -1,573 | -2,167 | -2,561 | -4,961 | -5,863 | -8,077 | -23,837 | -28,171 | -64,493 | -88,847 | -105,001 | -309,881 | -977,317 | -1,155,011 | -12,705,121 |
Here are some more numbers to try:
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