A:
Positive:
1 x 3102403017 x 4432004337 x 8384873259 x 1197839821 x 3778811459 x 2126395747 x 5398310213 x 30377
Negative:
-1 x -310240301-7 x -44320043-37 x -8384873-259 x -1197839-821 x -377881-1459 x -212639-5747 x -53983-10213 x -30377
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 310,240,301, 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 | 310,240,301 | |
| -1 | -310,240,301 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 310,240,301.
Example:
1 x 310,240,301 = 310,240,301
and
-1 x -310,240,301 = 310,240,301
Notice both answers equal 310,240,301
With that explanation out of the way, let's continue. Next, we take the number 310,240,301 and divide it by 2:
310,240,301 ÷ 2 = 155,120,150.5
If the quotient is a whole number, then 2 and 155,120,150.5 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 | 310,240,301 | |
| -1 | -310,240,301 |
Now, we try dividing 310,240,301 by 3:
310,240,301 ÷ 3 = 103,413,433.6667
If the quotient is a whole number, then 3 and 103,413,433.6667 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 | 310,240,301 | |
| -1 | -310,240,301 |
Let's try dividing by 4:
310,240,301 ÷ 4 = 77,560,075.25
If the quotient is a whole number, then 4 and 77,560,075.25 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 | 310,240,301 | |
| -1 | 310,240,301 |
If you did it right, you will end up with this table:
| 1 | 7 | 37 | 259 | 821 | 1,459 | 5,747 | 10,213 | 30,377 | 53,983 | 212,639 | 377,881 | 1,197,839 | 8,384,873 | 44,320,043 | 310,240,301 |
| -1 | -7 | -37 | -259 | -821 | -1,459 | -5,747 | -10,213 | -30,377 | -53,983 | -212,639 | -377,881 | -1,197,839 | -8,384,873 | -44,320,043 | -310,240,301 |
Here are some more numbers to try:
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