A:
Positive:
1 x 1005120355 x 2010240713 x 773169565 x 1546339103 x 975845515 x 1951691339 x 750656695 x 15013
Negative:
-1 x -100512035-5 x -20102407-13 x -7731695-65 x -1546339-103 x -975845-515 x -195169-1339 x -75065-6695 x -15013
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 100,512,035, 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 | 100,512,035 | |
| -1 | -100,512,035 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 100,512,035.
Example:
1 x 100,512,035 = 100,512,035
and
-1 x -100,512,035 = 100,512,035
Notice both answers equal 100,512,035
With that explanation out of the way, let's continue. Next, we take the number 100,512,035 and divide it by 2:
100,512,035 ÷ 2 = 50,256,017.5
If the quotient is a whole number, then 2 and 50,256,017.5 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 | 100,512,035 | |
| -1 | -100,512,035 |
Now, we try dividing 100,512,035 by 3:
100,512,035 ÷ 3 = 33,504,011.6667
If the quotient is a whole number, then 3 and 33,504,011.6667 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 | 100,512,035 | |
| -1 | -100,512,035 |
Let's try dividing by 4:
100,512,035 ÷ 4 = 25,128,008.75
If the quotient is a whole number, then 4 and 25,128,008.75 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 | 100,512,035 | |
| -1 | 100,512,035 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 65 | 103 | 515 | 1,339 | 6,695 | 15,013 | 75,065 | 195,169 | 975,845 | 1,546,339 | 7,731,695 | 20,102,407 | 100,512,035 |
| -1 | -5 | -13 | -65 | -103 | -515 | -1,339 | -6,695 | -15,013 | -75,065 | -195,169 | -975,845 | -1,546,339 | -7,731,695 | -20,102,407 | -100,512,035 |
Here are some more numbers to try:
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