A:
Positive:
1 x 3051467237 x 4359238941 x 7442603211 x 1446193287 x 10632291477 x 2065995039 x 605578651 x 35273
Negative:
-1 x -305146723-7 x -43592389-41 x -7442603-211 x -1446193-287 x -1063229-1477 x -206599-5039 x -60557-8651 x -35273
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 305,146,723, 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 | 305,146,723 | |
| -1 | -305,146,723 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 305,146,723.
Example:
1 x 305,146,723 = 305,146,723
and
-1 x -305,146,723 = 305,146,723
Notice both answers equal 305,146,723
With that explanation out of the way, let's continue. Next, we take the number 305,146,723 and divide it by 2:
305,146,723 ÷ 2 = 152,573,361.5
If the quotient is a whole number, then 2 and 152,573,361.5 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 | 305,146,723 | |
| -1 | -305,146,723 |
Now, we try dividing 305,146,723 by 3:
305,146,723 ÷ 3 = 101,715,574.3333
If the quotient is a whole number, then 3 and 101,715,574.3333 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 | 305,146,723 | |
| -1 | -305,146,723 |
Let's try dividing by 4:
305,146,723 ÷ 4 = 76,286,680.75
If the quotient is a whole number, then 4 and 76,286,680.75 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 | 305,146,723 | |
| -1 | 305,146,723 |
If you did it right, you will end up with this table:
| 1 | 7 | 41 | 211 | 287 | 1,477 | 5,039 | 8,651 | 35,273 | 60,557 | 206,599 | 1,063,229 | 1,446,193 | 7,442,603 | 43,592,389 | 305,146,723 |
| -1 | -7 | -41 | -211 | -287 | -1,477 | -5,039 | -8,651 | -35,273 | -60,557 | -206,599 | -1,063,229 | -1,446,193 | -7,442,603 | -43,592,389 | -305,146,723 |
Here are some more numbers to try:
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