A:
Positive:
1 x 30414000111 x 2764909167 x 4539403499 x 609499737 x 412673827 x 3677635489 x 554099097 x 33433
Negative:
-1 x -304140001-11 x -27649091-67 x -4539403-499 x -609499-737 x -412673-827 x -367763-5489 x -55409-9097 x -33433
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 304,140,001, 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 | 304,140,001 | |
| -1 | -304,140,001 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 304,140,001.
Example:
1 x 304,140,001 = 304,140,001
and
-1 x -304,140,001 = 304,140,001
Notice both answers equal 304,140,001
With that explanation out of the way, let's continue. Next, we take the number 304,140,001 and divide it by 2:
304,140,001 ÷ 2 = 152,070,000.5
If the quotient is a whole number, then 2 and 152,070,000.5 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 | 304,140,001 | |
| -1 | -304,140,001 |
Now, we try dividing 304,140,001 by 3:
304,140,001 ÷ 3 = 101,380,000.3333
If the quotient is a whole number, then 3 and 101,380,000.3333 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 | 304,140,001 | |
| -1 | -304,140,001 |
Let's try dividing by 4:
304,140,001 ÷ 4 = 76,035,000.25
If the quotient is a whole number, then 4 and 76,035,000.25 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 | 304,140,001 | |
| -1 | 304,140,001 |
If you did it right, you will end up with this table:
| 1 | 11 | 67 | 499 | 737 | 827 | 5,489 | 9,097 | 33,433 | 55,409 | 367,763 | 412,673 | 609,499 | 4,539,403 | 27,649,091 | 304,140,001 |
| -1 | -11 | -67 | -499 | -737 | -827 | -5,489 | -9,097 | -33,433 | -55,409 | -367,763 | -412,673 | -609,499 | -4,539,403 | -27,649,091 | -304,140,001 |
Here are some more numbers to try:
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