A:
Positive:
1 x 3045141477 x 4350202131 x 9823037137 x 2222731217 x 1403291959 x 3175334247 x 7170110243 x 29729
Negative:
-1 x -304514147-7 x -43502021-31 x -9823037-137 x -2222731-217 x -1403291-959 x -317533-4247 x -71701-10243 x -29729
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 304,514,147, 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 | 304,514,147 | |
| -1 | -304,514,147 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 304,514,147.
Example:
1 x 304,514,147 = 304,514,147
and
-1 x -304,514,147 = 304,514,147
Notice both answers equal 304,514,147
With that explanation out of the way, let's continue. Next, we take the number 304,514,147 and divide it by 2:
304,514,147 ÷ 2 = 152,257,073.5
If the quotient is a whole number, then 2 and 152,257,073.5 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 | 304,514,147 | |
| -1 | -304,514,147 |
Now, we try dividing 304,514,147 by 3:
304,514,147 ÷ 3 = 101,504,715.6667
If the quotient is a whole number, then 3 and 101,504,715.6667 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 | 304,514,147 | |
| -1 | -304,514,147 |
Let's try dividing by 4:
304,514,147 ÷ 4 = 76,128,536.75
If the quotient is a whole number, then 4 and 76,128,536.75 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 | 304,514,147 | |
| -1 | 304,514,147 |
If you did it right, you will end up with this table:
| 1 | 7 | 31 | 137 | 217 | 959 | 4,247 | 10,243 | 29,729 | 71,701 | 317,533 | 1,403,291 | 2,222,731 | 9,823,037 | 43,502,021 | 304,514,147 |
| -1 | -7 | -31 | -137 | -217 | -959 | -4,247 | -10,243 | -29,729 | -71,701 | -317,533 | -1,403,291 | -2,222,731 | -9,823,037 | -43,502,021 | -304,514,147 |
Here are some more numbers to try:
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