A:
Positive:
1 x 30210551947 x 6427777131 x 2306149139 x 2173421353 x 8558236157 x 490676533 x 4624316591 x 18209
Negative:
-1 x -302105519-47 x -6427777-131 x -2306149-139 x -2173421-353 x -855823-6157 x -49067-6533 x -46243-16591 x -18209
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 302,105,519, 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 | 302,105,519 | |
| -1 | -302,105,519 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 302,105,519.
Example:
1 x 302,105,519 = 302,105,519
and
-1 x -302,105,519 = 302,105,519
Notice both answers equal 302,105,519
With that explanation out of the way, let's continue. Next, we take the number 302,105,519 and divide it by 2:
302,105,519 ÷ 2 = 151,052,759.5
If the quotient is a whole number, then 2 and 151,052,759.5 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 | 302,105,519 | |
| -1 | -302,105,519 |
Now, we try dividing 302,105,519 by 3:
302,105,519 ÷ 3 = 100,701,839.6667
If the quotient is a whole number, then 3 and 100,701,839.6667 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 | 302,105,519 | |
| -1 | -302,105,519 |
Let's try dividing by 4:
302,105,519 ÷ 4 = 75,526,379.75
If the quotient is a whole number, then 4 and 75,526,379.75 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 | 302,105,519 | |
| -1 | 302,105,519 |
If you did it right, you will end up with this table:
| 1 | 47 | 131 | 139 | 353 | 6,157 | 6,533 | 16,591 | 18,209 | 46,243 | 49,067 | 855,823 | 2,173,421 | 2,306,149 | 6,427,777 | 302,105,519 |
| -1 | -47 | -131 | -139 | -353 | -6,157 | -6,533 | -16,591 | -18,209 | -46,243 | -49,067 | -855,823 | -2,173,421 | -2,306,149 | -6,427,777 | -302,105,519 |
Here are some more numbers to try:
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