A:
Positive:
1 x 3103144255 x 6206288525 x 12412577157 x 1976525173 x 1793725457 x 679025785 x 395305865 x 3587452285 x 1358053925 x 790614325 x 7174911425 x 27161
Negative:
-1 x -310314425-5 x -62062885-25 x -12412577-157 x -1976525-173 x -1793725-457 x -679025-785 x -395305-865 x -358745-2285 x -135805-3925 x -79061-4325 x -71749-11425 x -27161
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 310,314,425, 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 | 310,314,425 | |
| -1 | -310,314,425 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 310,314,425.
Example:
1 x 310,314,425 = 310,314,425
and
-1 x -310,314,425 = 310,314,425
Notice both answers equal 310,314,425
With that explanation out of the way, let's continue. Next, we take the number 310,314,425 and divide it by 2:
310,314,425 ÷ 2 = 155,157,212.5
If the quotient is a whole number, then 2 and 155,157,212.5 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 | 310,314,425 | |
| -1 | -310,314,425 |
Now, we try dividing 310,314,425 by 3:
310,314,425 ÷ 3 = 103,438,141.6667
If the quotient is a whole number, then 3 and 103,438,141.6667 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 | 310,314,425 | |
| -1 | -310,314,425 |
Let's try dividing by 4:
310,314,425 ÷ 4 = 77,578,606.25
If the quotient is a whole number, then 4 and 77,578,606.25 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 | 310,314,425 | |
| -1 | 310,314,425 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 157 | 173 | 457 | 785 | 865 | 2,285 | 3,925 | 4,325 | 11,425 | 27,161 | 71,749 | 79,061 | 135,805 | 358,745 | 395,305 | 679,025 | 1,793,725 | 1,976,525 | 12,412,577 | 62,062,885 | 310,314,425 |
| -1 | -5 | -25 | -157 | -173 | -457 | -785 | -865 | -2,285 | -3,925 | -4,325 | -11,425 | -27,161 | -71,749 | -79,061 | -135,805 | -358,745 | -395,305 | -679,025 | -1,793,725 | -1,976,525 | -12,412,577 | -62,062,885 | -310,314,425 |
Here are some more numbers to try:
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