A:
Positive:
1 x 1001033117 x 1430047311 x 910030177 x 1300043109 x 918379763 x 1311971199 x 834898393 x 11927
Negative:
-1 x -100103311-7 x -14300473-11 x -9100301-77 x -1300043-109 x -918379-763 x -131197-1199 x -83489-8393 x -11927
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 100,103,311, 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 | 100,103,311 | |
| -1 | -100,103,311 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 100,103,311.
Example:
1 x 100,103,311 = 100,103,311
and
-1 x -100,103,311 = 100,103,311
Notice both answers equal 100,103,311
With that explanation out of the way, let's continue. Next, we take the number 100,103,311 and divide it by 2:
100,103,311 ÷ 2 = 50,051,655.5
If the quotient is a whole number, then 2 and 50,051,655.5 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 | 100,103,311 | |
| -1 | -100,103,311 |
Now, we try dividing 100,103,311 by 3:
100,103,311 ÷ 3 = 33,367,770.3333
If the quotient is a whole number, then 3 and 33,367,770.3333 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 | 100,103,311 | |
| -1 | -100,103,311 |
Let's try dividing by 4:
100,103,311 ÷ 4 = 25,025,827.75
If the quotient is a whole number, then 4 and 25,025,827.75 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 | 100,103,311 | |
| -1 | 100,103,311 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 77 | 109 | 763 | 1,199 | 8,393 | 11,927 | 83,489 | 131,197 | 918,379 | 1,300,043 | 9,100,301 | 14,300,473 | 100,103,311 |
| -1 | -7 | -11 | -77 | -109 | -763 | -1,199 | -8,393 | -11,927 | -83,489 | -131,197 | -918,379 | -1,300,043 | -9,100,301 | -14,300,473 | -100,103,311 |
Here are some more numbers to try:
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