A:
Positive:
1 x 10010200117 x 588835353 x 1888717241 x 415361461 x 217141901 x 1111014097 x 244337837 x 12773
Negative:
-1 x -100102001-17 x -5888353-53 x -1888717-241 x -415361-461 x -217141-901 x -111101-4097 x -24433-7837 x -12773
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 100,102,001, 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 | 100,102,001 | |
| -1 | -100,102,001 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 100,102,001.
Example:
1 x 100,102,001 = 100,102,001
and
-1 x -100,102,001 = 100,102,001
Notice both answers equal 100,102,001
With that explanation out of the way, let's continue. Next, we take the number 100,102,001 and divide it by 2:
100,102,001 ÷ 2 = 50,051,000.5
If the quotient is a whole number, then 2 and 50,051,000.5 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 | 100,102,001 | |
| -1 | -100,102,001 |
Now, we try dividing 100,102,001 by 3:
100,102,001 ÷ 3 = 33,367,333.6667
If the quotient is a whole number, then 3 and 33,367,333.6667 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 | 100,102,001 | |
| -1 | -100,102,001 |
Let's try dividing by 4:
100,102,001 ÷ 4 = 25,025,500.25
If the quotient is a whole number, then 4 and 25,025,500.25 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 | 100,102,001 | |
| -1 | 100,102,001 |
If you did it right, you will end up with this table:
| 1 | 17 | 53 | 241 | 461 | 901 | 4,097 | 7,837 | 12,773 | 24,433 | 111,101 | 217,141 | 415,361 | 1,888,717 | 5,888,353 | 100,102,001 |
| -1 | -17 | -53 | -241 | -461 | -901 | -4,097 | -7,837 | -12,773 | -24,433 | -111,101 | -217,141 | -415,361 | -1,888,717 | -5,888,353 | -100,102,001 |
Here are some more numbers to try:
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