A:
Positive:
1 x 3051020155 x 6102040323 x 13265305115 x 26530611493 x 2043551777 x 1716957465 x 408718885 x 34339
Negative:
-1 x -305102015-5 x -61020403-23 x -13265305-115 x -2653061-1493 x -204355-1777 x -171695-7465 x -40871-8885 x -34339
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 305,102,015, 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 | 305,102,015 | |
| -1 | -305,102,015 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 305,102,015.
Example:
1 x 305,102,015 = 305,102,015
and
-1 x -305,102,015 = 305,102,015
Notice both answers equal 305,102,015
With that explanation out of the way, let's continue. Next, we take the number 305,102,015 and divide it by 2:
305,102,015 ÷ 2 = 152,551,007.5
If the quotient is a whole number, then 2 and 152,551,007.5 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 | 305,102,015 | |
| -1 | -305,102,015 |
Now, we try dividing 305,102,015 by 3:
305,102,015 ÷ 3 = 101,700,671.6667
If the quotient is a whole number, then 3 and 101,700,671.6667 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 | 305,102,015 | |
| -1 | -305,102,015 |
Let's try dividing by 4:
305,102,015 ÷ 4 = 76,275,503.75
If the quotient is a whole number, then 4 and 76,275,503.75 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 | 305,102,015 | |
| -1 | 305,102,015 |
If you did it right, you will end up with this table:
| 1 | 5 | 23 | 115 | 1,493 | 1,777 | 7,465 | 8,885 | 34,339 | 40,871 | 171,695 | 204,355 | 2,653,061 | 13,265,305 | 61,020,403 | 305,102,015 |
| -1 | -5 | -23 | -115 | -1,493 | -1,777 | -7,465 | -8,885 | -34,339 | -40,871 | -171,695 | -204,355 | -2,653,061 | -13,265,305 | -61,020,403 | -305,102,015 |
Here are some more numbers to try:
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