A:
Positive:
1 x 3550550311 x 322777317 x 2088559181 x 196163187 x 1898691049 x 338471991 x 178333077 x 11539
Negative:
-1 x -35505503-11 x -3227773-17 x -2088559-181 x -196163-187 x -189869-1049 x -33847-1991 x -17833-3077 x -11539
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 35,505,503, 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 | 35,505,503 | |
| -1 | -35,505,503 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 35,505,503.
Example:
1 x 35,505,503 = 35,505,503
and
-1 x -35,505,503 = 35,505,503
Notice both answers equal 35,505,503
With that explanation out of the way, let's continue. Next, we take the number 35,505,503 and divide it by 2:
35,505,503 ÷ 2 = 17,752,751.5
If the quotient is a whole number, then 2 and 17,752,751.5 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 | 35,505,503 | |
| -1 | -35,505,503 |
Now, we try dividing 35,505,503 by 3:
35,505,503 ÷ 3 = 11,835,167.6667
If the quotient is a whole number, then 3 and 11,835,167.6667 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 | 35,505,503 | |
| -1 | -35,505,503 |
Let's try dividing by 4:
35,505,503 ÷ 4 = 8,876,375.75
If the quotient is a whole number, then 4 and 8,876,375.75 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 | 35,505,503 | |
| -1 | 35,505,503 |
If you did it right, you will end up with this table:
| 1 | 11 | 17 | 181 | 187 | 1,049 | 1,991 | 3,077 | 11,539 | 17,833 | 33,847 | 189,869 | 196,163 | 2,088,559 | 3,227,773 | 35,505,503 |
| -1 | -11 | -17 | -181 | -187 | -1,049 | -1,991 | -3,077 | -11,539 | -17,833 | -33,847 | -189,869 | -196,163 | -2,088,559 | -3,227,773 | -35,505,503 |
Here are some more numbers to try:
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