A:
Positive:
1 x 1055555055 x 2111110111 x 959595529 x 363984555 x 1919191145 x 727969319 x 3308951595 x 66179
Negative:
-1 x -105555505-5 x -21111101-11 x -9595955-29 x -3639845-55 x -1919191-145 x -727969-319 x -330895-1595 x -66179
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 105,555,505, 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 | 105,555,505 | |
| -1 | -105,555,505 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 105,555,505.
Example:
1 x 105,555,505 = 105,555,505
and
-1 x -105,555,505 = 105,555,505
Notice both answers equal 105,555,505
With that explanation out of the way, let's continue. Next, we take the number 105,555,505 and divide it by 2:
105,555,505 ÷ 2 = 52,777,752.5
If the quotient is a whole number, then 2 and 52,777,752.5 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 | 105,555,505 | |
| -1 | -105,555,505 |
Now, we try dividing 105,555,505 by 3:
105,555,505 ÷ 3 = 35,185,168.3333
If the quotient is a whole number, then 3 and 35,185,168.3333 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 | 105,555,505 | |
| -1 | -105,555,505 |
Let's try dividing by 4:
105,555,505 ÷ 4 = 26,388,876.25
If the quotient is a whole number, then 4 and 26,388,876.25 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 | 105,555,505 | |
| -1 | 105,555,505 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 29 | 55 | 145 | 319 | 1,595 | 66,179 | 330,895 | 727,969 | 1,919,191 | 3,639,845 | 9,595,955 | 21,111,101 | 105,555,505 |
| -1 | -5 | -11 | -29 | -55 | -145 | -319 | -1,595 | -66,179 | -330,895 | -727,969 | -1,919,191 | -3,639,845 | -9,595,955 | -21,111,101 | -105,555,505 |
Here are some more numbers to try:
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