A:
Positive:
1 x 123220255 x 246440517 x 72482525 x 49288179 x 15597585 x 144965367 x 33575395 x 31195425 x 289931343 x 91751835 x 67151975 x 6239
Negative:
-1 x -12322025-5 x -2464405-17 x -724825-25 x -492881-79 x -155975-85 x -144965-367 x -33575-395 x -31195-425 x -28993-1343 x -9175-1835 x -6715-1975 x -6239
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 12,322,025, 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 | 12,322,025 | |
| -1 | -12,322,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 12,322,025.
Example:
1 x 12,322,025 = 12,322,025
and
-1 x -12,322,025 = 12,322,025
Notice both answers equal 12,322,025
With that explanation out of the way, let's continue. Next, we take the number 12,322,025 and divide it by 2:
12,322,025 ÷ 2 = 6,161,012.5
If the quotient is a whole number, then 2 and 6,161,012.5 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 | 12,322,025 | |
| -1 | -12,322,025 |
Now, we try dividing 12,322,025 by 3:
12,322,025 ÷ 3 = 4,107,341.6667
If the quotient is a whole number, then 3 and 4,107,341.6667 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 | 12,322,025 | |
| -1 | -12,322,025 |
Let's try dividing by 4:
12,322,025 ÷ 4 = 3,080,506.25
If the quotient is a whole number, then 4 and 3,080,506.25 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 | 12,322,025 | |
| -1 | 12,322,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 17 | 25 | 79 | 85 | 367 | 395 | 425 | 1,343 | 1,835 | 1,975 | 6,239 | 6,715 | 9,175 | 28,993 | 31,195 | 33,575 | 144,965 | 155,975 | 492,881 | 724,825 | 2,464,405 | 12,322,025 |
| -1 | -5 | -17 | -25 | -79 | -85 | -367 | -395 | -425 | -1,343 | -1,835 | -1,975 | -6,239 | -6,715 | -9,175 | -28,993 | -31,195 | -33,575 | -144,965 | -155,975 | -492,881 | -724,825 | -2,464,405 | -12,322,025 |
Here are some more numbers to try:
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