A:
Positive:
1 x 302680255 x 605360525 x 121072129 x 104372583 x 364675145 x 208745415 x 72935503 x 60175725 x 417492075 x 145872407 x 125752515 x 12035
Negative:
-1 x -30268025-5 x -6053605-25 x -1210721-29 x -1043725-83 x -364675-145 x -208745-415 x -72935-503 x -60175-725 x -41749-2075 x -14587-2407 x -12575-2515 x -12035
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 30,268,025, 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 | 30,268,025 | |
| -1 | -30,268,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 30,268,025.
Example:
1 x 30,268,025 = 30,268,025
and
-1 x -30,268,025 = 30,268,025
Notice both answers equal 30,268,025
With that explanation out of the way, let's continue. Next, we take the number 30,268,025 and divide it by 2:
30,268,025 ÷ 2 = 15,134,012.5
If the quotient is a whole number, then 2 and 15,134,012.5 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 | 30,268,025 | |
| -1 | -30,268,025 |
Now, we try dividing 30,268,025 by 3:
30,268,025 ÷ 3 = 10,089,341.6667
If the quotient is a whole number, then 3 and 10,089,341.6667 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 | 30,268,025 | |
| -1 | -30,268,025 |
Let's try dividing by 4:
30,268,025 ÷ 4 = 7,567,006.25
If the quotient is a whole number, then 4 and 7,567,006.25 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 | 30,268,025 | |
| -1 | 30,268,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 29 | 83 | 145 | 415 | 503 | 725 | 2,075 | 2,407 | 2,515 | 12,035 | 12,575 | 14,587 | 41,749 | 60,175 | 72,935 | 208,745 | 364,675 | 1,043,725 | 1,210,721 | 6,053,605 | 30,268,025 |
| -1 | -5 | -25 | -29 | -83 | -145 | -415 | -503 | -725 | -2,075 | -2,407 | -2,515 | -12,035 | -12,575 | -14,587 | -41,749 | -60,175 | -72,935 | -208,745 | -364,675 | -1,043,725 | -1,210,721 | -6,053,605 | -30,268,025 |
Here are some more numbers to try:
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