A:
Positive:
1 x 303144355 x 606288731 x 977885155 x 195577257 x 117955761 x 398351285 x 235913805 x 7967
Negative:
-1 x -30314435-5 x -6062887-31 x -977885-155 x -195577-257 x -117955-761 x -39835-1285 x -23591-3805 x -7967
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 30,314,435, 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 | 30,314,435 | |
| -1 | -30,314,435 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 30,314,435.
Example:
1 x 30,314,435 = 30,314,435
and
-1 x -30,314,435 = 30,314,435
Notice both answers equal 30,314,435
With that explanation out of the way, let's continue. Next, we take the number 30,314,435 and divide it by 2:
30,314,435 ÷ 2 = 15,157,217.5
If the quotient is a whole number, then 2 and 15,157,217.5 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 | 30,314,435 | |
| -1 | -30,314,435 |
Now, we try dividing 30,314,435 by 3:
30,314,435 ÷ 3 = 10,104,811.6667
If the quotient is a whole number, then 3 and 10,104,811.6667 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 | 30,314,435 | |
| -1 | -30,314,435 |
Let's try dividing by 4:
30,314,435 ÷ 4 = 7,578,608.75
If the quotient is a whole number, then 4 and 7,578,608.75 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 | 30,314,435 | |
| -1 | 30,314,435 |
If you did it right, you will end up with this table:
| 1 | 5 | 31 | 155 | 257 | 761 | 1,285 | 3,805 | 7,967 | 23,591 | 39,835 | 117,955 | 195,577 | 977,885 | 6,062,887 | 30,314,435 |
| -1 | -5 | -31 | -155 | -257 | -761 | -1,285 | -3,805 | -7,967 | -23,591 | -39,835 | -117,955 | -195,577 | -977,885 | -6,062,887 | -30,314,435 |
Here are some more numbers to try:
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