A:
Positive:
1 x 30567342723 x 1329014929 x 10540463107 x 2856761667 x 4582812461 x 1242073103 x 985094283 x 71369
Negative:
-1 x -305673427-23 x -13290149-29 x -10540463-107 x -2856761-667 x -458281-2461 x -124207-3103 x -98509-4283 x -71369
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 305,673,427, 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 | 305,673,427 | |
| -1 | -305,673,427 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 305,673,427.
Example:
1 x 305,673,427 = 305,673,427
and
-1 x -305,673,427 = 305,673,427
Notice both answers equal 305,673,427
With that explanation out of the way, let's continue. Next, we take the number 305,673,427 and divide it by 2:
305,673,427 ÷ 2 = 152,836,713.5
If the quotient is a whole number, then 2 and 152,836,713.5 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 | 305,673,427 | |
| -1 | -305,673,427 |
Now, we try dividing 305,673,427 by 3:
305,673,427 ÷ 3 = 101,891,142.3333
If the quotient is a whole number, then 3 and 101,891,142.3333 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 | 305,673,427 | |
| -1 | -305,673,427 |
Let's try dividing by 4:
305,673,427 ÷ 4 = 76,418,356.75
If the quotient is a whole number, then 4 and 76,418,356.75 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 | 305,673,427 | |
| -1 | 305,673,427 |
If you did it right, you will end up with this table:
| 1 | 23 | 29 | 107 | 667 | 2,461 | 3,103 | 4,283 | 71,369 | 98,509 | 124,207 | 458,281 | 2,856,761 | 10,540,463 | 13,290,149 | 305,673,427 |
| -1 | -23 | -29 | -107 | -667 | -2,461 | -3,103 | -4,283 | -71,369 | -98,509 | -124,207 | -458,281 | -2,856,761 | -10,540,463 | -13,290,149 | -305,673,427 |
Here are some more numbers to try:
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