A:
Positive:
1 x 3030255 x 6060517 x 1782523 x 1317525 x 1212131 x 977585 x 3565115 x 2635155 x 1955391 x 775425 x 713527 x 575
Negative:
-1 x -303025-5 x -60605-17 x -17825-23 x -13175-25 x -12121-31 x -9775-85 x -3565-115 x -2635-155 x -1955-391 x -775-425 x -713-527 x -575
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 303,025, 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 | 303,025 | |
| -1 | -303,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 303,025.
Example:
1 x 303,025 = 303,025
and
-1 x -303,025 = 303,025
Notice both answers equal 303,025
With that explanation out of the way, let's continue. Next, we take the number 303,025 and divide it by 2:
303,025 ÷ 2 = 151,512.5
If the quotient is a whole number, then 2 and 151,512.5 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 | 303,025 | |
| -1 | -303,025 |
Now, we try dividing 303,025 by 3:
303,025 ÷ 3 = 101,008.3333
If the quotient is a whole number, then 3 and 101,008.3333 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 | 303,025 | |
| -1 | -303,025 |
Let's try dividing by 4:
303,025 ÷ 4 = 75,756.25
If the quotient is a whole number, then 4 and 75,756.25 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 | 303,025 | |
| -1 | 303,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 17 | 23 | 25 | 31 | 85 | 115 | 155 | 391 | 425 | 527 | 575 | 713 | 775 | 1,955 | 2,635 | 3,565 | 9,775 | 12,121 | 13,175 | 17,825 | 60,605 | 303,025 |
| -1 | -5 | -17 | -23 | -25 | -31 | -85 | -115 | -155 | -391 | -425 | -527 | -575 | -713 | -775 | -1,955 | -2,635 | -3,565 | -9,775 | -12,121 | -13,175 | -17,825 | -60,605 | -303,025 |
Here are some more numbers to try:
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