A:
Positive:
1 x 1021001037 x 1458572943 x 2374421163 x 626381301 x 3392031141 x 894832081 x 490637009 x 14567
Negative:
-1 x -102100103-7 x -14585729-43 x -2374421-163 x -626381-301 x -339203-1141 x -89483-2081 x -49063-7009 x -14567
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 102,100,103, 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 | 102,100,103 | |
| -1 | -102,100,103 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 102,100,103.
Example:
1 x 102,100,103 = 102,100,103
and
-1 x -102,100,103 = 102,100,103
Notice both answers equal 102,100,103
With that explanation out of the way, let's continue. Next, we take the number 102,100,103 and divide it by 2:
102,100,103 ÷ 2 = 51,050,051.5
If the quotient is a whole number, then 2 and 51,050,051.5 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 | 102,100,103 | |
| -1 | -102,100,103 |
Now, we try dividing 102,100,103 by 3:
102,100,103 ÷ 3 = 34,033,367.6667
If the quotient is a whole number, then 3 and 34,033,367.6667 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 | 102,100,103 | |
| -1 | -102,100,103 |
Let's try dividing by 4:
102,100,103 ÷ 4 = 25,525,025.75
If the quotient is a whole number, then 4 and 25,525,025.75 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 | 102,100,103 | |
| -1 | 102,100,103 |
If you did it right, you will end up with this table:
| 1 | 7 | 43 | 163 | 301 | 1,141 | 2,081 | 7,009 | 14,567 | 49,063 | 89,483 | 339,203 | 626,381 | 2,374,421 | 14,585,729 | 102,100,103 |
| -1 | -7 | -43 | -163 | -301 | -1,141 | -2,081 | -7,009 | -14,567 | -49,063 | -89,483 | -339,203 | -626,381 | -2,374,421 | -14,585,729 | -102,100,103 |
Here are some more numbers to try:
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