A:
Positive:
1 x 3100020055 x 6200040119 x 1631589595 x 3263179107 x 2897215535 x 5794432033 x 15248510165 x 30497
Negative:
-1 x -310002005-5 x -62000401-19 x -16315895-95 x -3263179-107 x -2897215-535 x -579443-2033 x -152485-10165 x -30497
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 310,002,005, 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 | 310,002,005 | |
| -1 | -310,002,005 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 310,002,005.
Example:
1 x 310,002,005 = 310,002,005
and
-1 x -310,002,005 = 310,002,005
Notice both answers equal 310,002,005
With that explanation out of the way, let's continue. Next, we take the number 310,002,005 and divide it by 2:
310,002,005 ÷ 2 = 155,001,002.5
If the quotient is a whole number, then 2 and 155,001,002.5 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 | 310,002,005 | |
| -1 | -310,002,005 |
Now, we try dividing 310,002,005 by 3:
310,002,005 ÷ 3 = 103,334,001.6667
If the quotient is a whole number, then 3 and 103,334,001.6667 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 | 310,002,005 | |
| -1 | -310,002,005 |
Let's try dividing by 4:
310,002,005 ÷ 4 = 77,500,501.25
If the quotient is a whole number, then 4 and 77,500,501.25 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 | 310,002,005 | |
| -1 | 310,002,005 |
If you did it right, you will end up with this table:
| 1 | 5 | 19 | 95 | 107 | 535 | 2,033 | 10,165 | 30,497 | 152,485 | 579,443 | 2,897,215 | 3,263,179 | 16,315,895 | 62,000,401 | 310,002,005 |
| -1 | -5 | -19 | -95 | -107 | -535 | -2,033 | -10,165 | -30,497 | -152,485 | -579,443 | -2,897,215 | -3,263,179 | -16,315,895 | -62,000,401 | -310,002,005 |
Here are some more numbers to try:
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