A:
Positive:
1 x 10001302311 x 909209317 x 5883119113 x 885071187 x 5348291243 x 804611921 x 520634733 x 21131
Negative:
-1 x -100013023-11 x -9092093-17 x -5883119-113 x -885071-187 x -534829-1243 x -80461-1921 x -52063-4733 x -21131
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 100,013,023, 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 | 100,013,023 | |
| -1 | -100,013,023 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 100,013,023.
Example:
1 x 100,013,023 = 100,013,023
and
-1 x -100,013,023 = 100,013,023
Notice both answers equal 100,013,023
With that explanation out of the way, let's continue. Next, we take the number 100,013,023 and divide it by 2:
100,013,023 ÷ 2 = 50,006,511.5
If the quotient is a whole number, then 2 and 50,006,511.5 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 | 100,013,023 | |
| -1 | -100,013,023 |
Now, we try dividing 100,013,023 by 3:
100,013,023 ÷ 3 = 33,337,674.3333
If the quotient is a whole number, then 3 and 33,337,674.3333 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 | 100,013,023 | |
| -1 | -100,013,023 |
Let's try dividing by 4:
100,013,023 ÷ 4 = 25,003,255.75
If the quotient is a whole number, then 4 and 25,003,255.75 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 | 100,013,023 | |
| -1 | 100,013,023 |
If you did it right, you will end up with this table:
| 1 | 11 | 17 | 113 | 187 | 1,243 | 1,921 | 4,733 | 21,131 | 52,063 | 80,461 | 534,829 | 885,071 | 5,883,119 | 9,092,093 | 100,013,023 |
| -1 | -11 | -17 | -113 | -187 | -1,243 | -1,921 | -4,733 | -21,131 | -52,063 | -80,461 | -534,829 | -885,071 | -5,883,119 | -9,092,093 | -100,013,023 |
Here are some more numbers to try:
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