A:
Positive:
1 x 30535250343 x 710122173 x 418291189 x 34309271093 x 2793713139 x 972773827 x 797896497 x 46999
Negative:
-1 x -305352503-43 x -7101221-73 x -4182911-89 x -3430927-1093 x -279371-3139 x -97277-3827 x -79789-6497 x -46999
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 305,352,503, 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 | 305,352,503 | |
| -1 | -305,352,503 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 305,352,503.
Example:
1 x 305,352,503 = 305,352,503
and
-1 x -305,352,503 = 305,352,503
Notice both answers equal 305,352,503
With that explanation out of the way, let's continue. Next, we take the number 305,352,503 and divide it by 2:
305,352,503 ÷ 2 = 152,676,251.5
If the quotient is a whole number, then 2 and 152,676,251.5 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 | 305,352,503 | |
| -1 | -305,352,503 |
Now, we try dividing 305,352,503 by 3:
305,352,503 ÷ 3 = 101,784,167.6667
If the quotient is a whole number, then 3 and 101,784,167.6667 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 | 305,352,503 | |
| -1 | -305,352,503 |
Let's try dividing by 4:
305,352,503 ÷ 4 = 76,338,125.75
If the quotient is a whole number, then 4 and 76,338,125.75 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 | 305,352,503 | |
| -1 | 305,352,503 |
If you did it right, you will end up with this table:
| 1 | 43 | 73 | 89 | 1,093 | 3,139 | 3,827 | 6,497 | 46,999 | 79,789 | 97,277 | 279,371 | 3,430,927 | 4,182,911 | 7,101,221 | 305,352,503 |
| -1 | -43 | -73 | -89 | -1,093 | -3,139 | -3,827 | -6,497 | -46,999 | -79,789 | -97,277 | -279,371 | -3,430,927 | -4,182,911 | -7,101,221 | -305,352,503 |
Here are some more numbers to try:
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