A:
Positive:
1 x 3021210055 x 6042420141 x 736880559 x 5120695205 x 1473761295 x 10241392419 x 12489512095 x 24979
Negative:
-1 x -302121005-5 x -60424201-41 x -7368805-59 x -5120695-205 x -1473761-295 x -1024139-2419 x -124895-12095 x -24979
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 302,121,005, 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 | 302,121,005 | |
| -1 | -302,121,005 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 302,121,005.
Example:
1 x 302,121,005 = 302,121,005
and
-1 x -302,121,005 = 302,121,005
Notice both answers equal 302,121,005
With that explanation out of the way, let's continue. Next, we take the number 302,121,005 and divide it by 2:
302,121,005 ÷ 2 = 151,060,502.5
If the quotient is a whole number, then 2 and 151,060,502.5 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 | 302,121,005 | |
| -1 | -302,121,005 |
Now, we try dividing 302,121,005 by 3:
302,121,005 ÷ 3 = 100,707,001.6667
If the quotient is a whole number, then 3 and 100,707,001.6667 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 | 302,121,005 | |
| -1 | -302,121,005 |
Let's try dividing by 4:
302,121,005 ÷ 4 = 75,530,251.25
If the quotient is a whole number, then 4 and 75,530,251.25 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 | 302,121,005 | |
| -1 | 302,121,005 |
If you did it right, you will end up with this table:
| 1 | 5 | 41 | 59 | 205 | 295 | 2,419 | 12,095 | 24,979 | 124,895 | 1,024,139 | 1,473,761 | 5,120,695 | 7,368,805 | 60,424,201 | 302,121,005 |
| -1 | -5 | -41 | -59 | -205 | -295 | -2,419 | -12,095 | -24,979 | -124,895 | -1,024,139 | -1,473,761 | -5,120,695 | -7,368,805 | -60,424,201 | -302,121,005 |
Here are some more numbers to try:
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