A:
Positive:
1 x 10040132311 x 9127393121 x 829763241 x 416603313 x 3207711331 x 754332651 x 378733443 x 29161
Negative:
-1 x -100401323-11 x -9127393-121 x -829763-241 x -416603-313 x -320771-1331 x -75433-2651 x -37873-3443 x -29161
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 100,401,323, 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 | 100,401,323 | |
| -1 | -100,401,323 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 100,401,323.
Example:
1 x 100,401,323 = 100,401,323
and
-1 x -100,401,323 = 100,401,323
Notice both answers equal 100,401,323
With that explanation out of the way, let's continue. Next, we take the number 100,401,323 and divide it by 2:
100,401,323 ÷ 2 = 50,200,661.5
If the quotient is a whole number, then 2 and 50,200,661.5 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 | 100,401,323 | |
| -1 | -100,401,323 |
Now, we try dividing 100,401,323 by 3:
100,401,323 ÷ 3 = 33,467,107.6667
If the quotient is a whole number, then 3 and 33,467,107.6667 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 | 100,401,323 | |
| -1 | -100,401,323 |
Let's try dividing by 4:
100,401,323 ÷ 4 = 25,100,330.75
If the quotient is a whole number, then 4 and 25,100,330.75 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 | 100,401,323 | |
| -1 | 100,401,323 |
If you did it right, you will end up with this table:
| 1 | 11 | 121 | 241 | 313 | 1,331 | 2,651 | 3,443 | 29,161 | 37,873 | 75,433 | 320,771 | 416,603 | 829,763 | 9,127,393 | 100,401,323 |
| -1 | -11 | -121 | -241 | -313 | -1,331 | -2,651 | -3,443 | -29,161 | -37,873 | -75,433 | -320,771 | -416,603 | -829,763 | -9,127,393 | -100,401,323 |
Here are some more numbers to try:
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