A:
Positive:
1 x 1001001555 x 2002003173 x 1371235139 x 720145365 x 274247695 x 1440291973 x 507359865 x 10147
Negative:
-1 x -100100155-5 x -20020031-73 x -1371235-139 x -720145-365 x -274247-695 x -144029-1973 x -50735-9865 x -10147
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 100,100,155, 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 | 100,100,155 | |
| -1 | -100,100,155 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 100,100,155.
Example:
1 x 100,100,155 = 100,100,155
and
-1 x -100,100,155 = 100,100,155
Notice both answers equal 100,100,155
With that explanation out of the way, let's continue. Next, we take the number 100,100,155 and divide it by 2:
100,100,155 ÷ 2 = 50,050,077.5
If the quotient is a whole number, then 2 and 50,050,077.5 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 | 100,100,155 | |
| -1 | -100,100,155 |
Now, we try dividing 100,100,155 by 3:
100,100,155 ÷ 3 = 33,366,718.3333
If the quotient is a whole number, then 3 and 33,366,718.3333 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 | 100,100,155 | |
| -1 | -100,100,155 |
Let's try dividing by 4:
100,100,155 ÷ 4 = 25,025,038.75
If the quotient is a whole number, then 4 and 25,025,038.75 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 | 100,100,155 | |
| -1 | 100,100,155 |
If you did it right, you will end up with this table:
| 1 | 5 | 73 | 139 | 365 | 695 | 1,973 | 9,865 | 10,147 | 50,735 | 144,029 | 274,247 | 720,145 | 1,371,235 | 20,020,031 | 100,100,155 |
| -1 | -5 | -73 | -139 | -365 | -695 | -1,973 | -9,865 | -10,147 | -50,735 | -144,029 | -274,247 | -720,145 | -1,371,235 | -20,020,031 | -100,100,155 |
Here are some more numbers to try:
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