A:
Positive:
1 x 124122055 x 248244113 x 95478537 x 33546565 x 190957169 x 73445185 x 67093397 x 31265481 x 25805845 x 146891985 x 62532405 x 5161
Negative:
-1 x -12412205-5 x -2482441-13 x -954785-37 x -335465-65 x -190957-169 x -73445-185 x -67093-397 x -31265-481 x -25805-845 x -14689-1985 x -6253-2405 x -5161
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 12,412,205, 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 | 12,412,205 | |
| -1 | -12,412,205 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 12,412,205.
Example:
1 x 12,412,205 = 12,412,205
and
-1 x -12,412,205 = 12,412,205
Notice both answers equal 12,412,205
With that explanation out of the way, let's continue. Next, we take the number 12,412,205 and divide it by 2:
12,412,205 ÷ 2 = 6,206,102.5
If the quotient is a whole number, then 2 and 6,206,102.5 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 | 12,412,205 | |
| -1 | -12,412,205 |
Now, we try dividing 12,412,205 by 3:
12,412,205 ÷ 3 = 4,137,401.6667
If the quotient is a whole number, then 3 and 4,137,401.6667 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 | 12,412,205 | |
| -1 | -12,412,205 |
Let's try dividing by 4:
12,412,205 ÷ 4 = 3,103,051.25
If the quotient is a whole number, then 4 and 3,103,051.25 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 | 12,412,205 | |
| -1 | 12,412,205 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 37 | 65 | 169 | 185 | 397 | 481 | 845 | 1,985 | 2,405 | 5,161 | 6,253 | 14,689 | 25,805 | 31,265 | 67,093 | 73,445 | 190,957 | 335,465 | 954,785 | 2,482,441 | 12,412,205 |
| -1 | -5 | -13 | -37 | -65 | -169 | -185 | -397 | -481 | -845 | -1,985 | -2,405 | -5,161 | -6,253 | -14,689 | -25,805 | -31,265 | -67,093 | -73,445 | -190,957 | -335,465 | -954,785 | -2,482,441 | -12,412,205 |
Here are some more numbers to try:
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