A:
Positive:
1 x 1005010555 x 20100211233 x 431335281 x 357655307 x 3273651165 x 862671405 x 715311535 x 65473
Negative:
-1 x -100501055-5 x -20100211-233 x -431335-281 x -357655-307 x -327365-1165 x -86267-1405 x -71531-1535 x -65473
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 100,501,055, 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 | 100,501,055 | |
| -1 | -100,501,055 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 100,501,055.
Example:
1 x 100,501,055 = 100,501,055
and
-1 x -100,501,055 = 100,501,055
Notice both answers equal 100,501,055
With that explanation out of the way, let's continue. Next, we take the number 100,501,055 and divide it by 2:
100,501,055 ÷ 2 = 50,250,527.5
If the quotient is a whole number, then 2 and 50,250,527.5 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 | 100,501,055 | |
| -1 | -100,501,055 |
Now, we try dividing 100,501,055 by 3:
100,501,055 ÷ 3 = 33,500,351.6667
If the quotient is a whole number, then 3 and 33,500,351.6667 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 | 100,501,055 | |
| -1 | -100,501,055 |
Let's try dividing by 4:
100,501,055 ÷ 4 = 25,125,263.75
If the quotient is a whole number, then 4 and 25,125,263.75 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 | 100,501,055 | |
| -1 | 100,501,055 |
If you did it right, you will end up with this table:
| 1 | 5 | 233 | 281 | 307 | 1,165 | 1,405 | 1,535 | 65,473 | 71,531 | 86,267 | 327,365 | 357,655 | 431,335 | 20,100,211 | 100,501,055 |
| -1 | -5 | -233 | -281 | -307 | -1,165 | -1,405 | -1,535 | -65,473 | -71,531 | -86,267 | -327,365 | -357,655 | -431,335 | -20,100,211 | -100,501,055 |
Here are some more numbers to try:
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