A:
Positive:
1 x 31030022919 x 1633159161 x 508688979 x 39278511159 x 2677311501 x 2067293389 x 915614819 x 64391
Negative:
-1 x -310300229-19 x -16331591-61 x -5086889-79 x -3927851-1159 x -267731-1501 x -206729-3389 x -91561-4819 x -64391
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 310,300,229, 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 | 310,300,229 | |
| -1 | -310,300,229 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 310,300,229.
Example:
1 x 310,300,229 = 310,300,229
and
-1 x -310,300,229 = 310,300,229
Notice both answers equal 310,300,229
With that explanation out of the way, let's continue. Next, we take the number 310,300,229 and divide it by 2:
310,300,229 ÷ 2 = 155,150,114.5
If the quotient is a whole number, then 2 and 155,150,114.5 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 | 310,300,229 | |
| -1 | -310,300,229 |
Now, we try dividing 310,300,229 by 3:
310,300,229 ÷ 3 = 103,433,409.6667
If the quotient is a whole number, then 3 and 103,433,409.6667 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 | 310,300,229 | |
| -1 | -310,300,229 |
Let's try dividing by 4:
310,300,229 ÷ 4 = 77,575,057.25
If the quotient is a whole number, then 4 and 77,575,057.25 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 | 310,300,229 | |
| -1 | 310,300,229 |
If you did it right, you will end up with this table:
| 1 | 19 | 61 | 79 | 1,159 | 1,501 | 3,389 | 4,819 | 64,391 | 91,561 | 206,729 | 267,731 | 3,927,851 | 5,086,889 | 16,331,591 | 310,300,229 |
| -1 | -19 | -61 | -79 | -1,159 | -1,501 | -3,389 | -4,819 | -64,391 | -91,561 | -206,729 | -267,731 | -3,927,851 | -5,086,889 | -16,331,591 | -310,300,229 |
Here are some more numbers to try:
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