A:
Positive:
1 x 3014100255 x 602820057 x 4305857525 x 1205640135 x 861171549 x 6151225175 x 1722343245 x 12302451225 x 246049
Negative:
-1 x -301410025-5 x -60282005-7 x -43058575-25 x -12056401-35 x -8611715-49 x -6151225-175 x -1722343-245 x -1230245-1225 x -246049
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 301,410,025, 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 | 301,410,025 | |
| -1 | -301,410,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 301,410,025.
Example:
1 x 301,410,025 = 301,410,025
and
-1 x -301,410,025 = 301,410,025
Notice both answers equal 301,410,025
With that explanation out of the way, let's continue. Next, we take the number 301,410,025 and divide it by 2:
301,410,025 ÷ 2 = 150,705,012.5
If the quotient is a whole number, then 2 and 150,705,012.5 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 | 301,410,025 | |
| -1 | -301,410,025 |
Now, we try dividing 301,410,025 by 3:
301,410,025 ÷ 3 = 100,470,008.3333
If the quotient is a whole number, then 3 and 100,470,008.3333 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 | 301,410,025 | |
| -1 | -301,410,025 |
Let's try dividing by 4:
301,410,025 ÷ 4 = 75,352,506.25
If the quotient is a whole number, then 4 and 75,352,506.25 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 | 301,410,025 | |
| -1 | 301,410,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 25 | 35 | 49 | 175 | 245 | 1,225 | 246,049 | 1,230,245 | 1,722,343 | 6,151,225 | 8,611,715 | 12,056,401 | 43,058,575 | 60,282,005 | 301,410,025 |
| -1 | -5 | -7 | -25 | -35 | -49 | -175 | -245 | -1,225 | -246,049 | -1,230,245 | -1,722,343 | -6,151,225 | -8,611,715 | -12,056,401 | -43,058,575 | -60,282,005 | -301,410,025 |
Here are some more numbers to try:
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