A:
Positive:
1 x 1233012255 x 2466024525 x 493204979 x 1560775149 x 827525395 x 312155419 x 294275745 x 1655051975 x 624312095 x 588553725 x 3310110475 x 11771
Negative:
-1 x -123301225-5 x -24660245-25 x -4932049-79 x -1560775-149 x -827525-395 x -312155-419 x -294275-745 x -165505-1975 x -62431-2095 x -58855-3725 x -33101-10475 x -11771
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 123,301,225, 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 | 123,301,225 | |
| -1 | -123,301,225 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 123,301,225.
Example:
1 x 123,301,225 = 123,301,225
and
-1 x -123,301,225 = 123,301,225
Notice both answers equal 123,301,225
With that explanation out of the way, let's continue. Next, we take the number 123,301,225 and divide it by 2:
123,301,225 ÷ 2 = 61,650,612.5
If the quotient is a whole number, then 2 and 61,650,612.5 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 | 123,301,225 | |
| -1 | -123,301,225 |
Now, we try dividing 123,301,225 by 3:
123,301,225 ÷ 3 = 41,100,408.3333
If the quotient is a whole number, then 3 and 41,100,408.3333 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 | 123,301,225 | |
| -1 | -123,301,225 |
Let's try dividing by 4:
123,301,225 ÷ 4 = 30,825,306.25
If the quotient is a whole number, then 4 and 30,825,306.25 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 | 123,301,225 | |
| -1 | 123,301,225 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 79 | 149 | 395 | 419 | 745 | 1,975 | 2,095 | 3,725 | 10,475 | 11,771 | 33,101 | 58,855 | 62,431 | 165,505 | 294,275 | 312,155 | 827,525 | 1,560,775 | 4,932,049 | 24,660,245 | 123,301,225 |
| -1 | -5 | -25 | -79 | -149 | -395 | -419 | -745 | -1,975 | -2,095 | -3,725 | -10,475 | -11,771 | -33,101 | -58,855 | -62,431 | -165,505 | -294,275 | -312,155 | -827,525 | -1,560,775 | -4,932,049 | -24,660,245 | -123,301,225 |
Here are some more numbers to try:
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