A:
Positive:
1 x 301032255 x 602064525 x 120412941 x 73422543 x 700075205 x 146845215 x 140015683 x 440751025 x 293691075 x 280031763 x 170753415 x 8815
Negative:
-1 x -30103225-5 x -6020645-25 x -1204129-41 x -734225-43 x -700075-205 x -146845-215 x -140015-683 x -44075-1025 x -29369-1075 x -28003-1763 x -17075-3415 x -8815
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 30,103,225, 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 | 30,103,225 | |
| -1 | -30,103,225 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 30,103,225.
Example:
1 x 30,103,225 = 30,103,225
and
-1 x -30,103,225 = 30,103,225
Notice both answers equal 30,103,225
With that explanation out of the way, let's continue. Next, we take the number 30,103,225 and divide it by 2:
30,103,225 ÷ 2 = 15,051,612.5
If the quotient is a whole number, then 2 and 15,051,612.5 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 | 30,103,225 | |
| -1 | -30,103,225 |
Now, we try dividing 30,103,225 by 3:
30,103,225 ÷ 3 = 10,034,408.3333
If the quotient is a whole number, then 3 and 10,034,408.3333 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 | 30,103,225 | |
| -1 | -30,103,225 |
Let's try dividing by 4:
30,103,225 ÷ 4 = 7,525,806.25
If the quotient is a whole number, then 4 and 7,525,806.25 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 | 30,103,225 | |
| -1 | 30,103,225 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 41 | 43 | 205 | 215 | 683 | 1,025 | 1,075 | 1,763 | 3,415 | 8,815 | 17,075 | 28,003 | 29,369 | 44,075 | 140,015 | 146,845 | 700,075 | 734,225 | 1,204,129 | 6,020,645 | 30,103,225 |
| -1 | -5 | -25 | -41 | -43 | -205 | -215 | -683 | -1,025 | -1,075 | -1,763 | -3,415 | -8,815 | -17,075 | -28,003 | -29,369 | -44,075 | -140,015 | -146,845 | -700,075 | -734,225 | -1,204,129 | -6,020,645 | -30,103,225 |
Here are some more numbers to try:
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