A:
Positive:
1 x 3211120017 x 4587314353 x 605871797 x 3310433371 x 865531679 x 4729195141 x 624618923 x 35987
Negative:
-1 x -321112001-7 x -45873143-53 x -6058717-97 x -3310433-371 x -865531-679 x -472919-5141 x -62461-8923 x -35987
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 321,112,001, 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 | 321,112,001 | |
| -1 | -321,112,001 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 321,112,001.
Example:
1 x 321,112,001 = 321,112,001
and
-1 x -321,112,001 = 321,112,001
Notice both answers equal 321,112,001
With that explanation out of the way, let's continue. Next, we take the number 321,112,001 and divide it by 2:
321,112,001 ÷ 2 = 160,556,000.5
If the quotient is a whole number, then 2 and 160,556,000.5 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 | 321,112,001 | |
| -1 | -321,112,001 |
Now, we try dividing 321,112,001 by 3:
321,112,001 ÷ 3 = 107,037,333.6667
If the quotient is a whole number, then 3 and 107,037,333.6667 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 | 321,112,001 | |
| -1 | -321,112,001 |
Let's try dividing by 4:
321,112,001 ÷ 4 = 80,278,000.25
If the quotient is a whole number, then 4 and 80,278,000.25 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 | 321,112,001 | |
| -1 | 321,112,001 |
If you did it right, you will end up with this table:
| 1 | 7 | 53 | 97 | 371 | 679 | 5,141 | 8,923 | 35,987 | 62,461 | 472,919 | 865,531 | 3,310,433 | 6,058,717 | 45,873,143 | 321,112,001 |
| -1 | -7 | -53 | -97 | -371 | -679 | -5,141 | -8,923 | -35,987 | -62,461 | -472,919 | -865,531 | -3,310,433 | -6,058,717 | -45,873,143 | -321,112,001 |
Here are some more numbers to try:
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