A:
Positive:
1 x 3010133329 x 103797743 x 700031101 x 298033239 x 1259471247 x 241392929 x 102774343 x 6931
Negative:
-1 x -30101333-29 x -1037977-43 x -700031-101 x -298033-239 x -125947-1247 x -24139-2929 x -10277-4343 x -6931
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 30,101,333, 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 | 30,101,333 | |
| -1 | -30,101,333 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 30,101,333.
Example:
1 x 30,101,333 = 30,101,333
and
-1 x -30,101,333 = 30,101,333
Notice both answers equal 30,101,333
With that explanation out of the way, let's continue. Next, we take the number 30,101,333 and divide it by 2:
30,101,333 ÷ 2 = 15,050,666.5
If the quotient is a whole number, then 2 and 15,050,666.5 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 | 30,101,333 | |
| -1 | -30,101,333 |
Now, we try dividing 30,101,333 by 3:
30,101,333 ÷ 3 = 10,033,777.6667
If the quotient is a whole number, then 3 and 10,033,777.6667 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 | 30,101,333 | |
| -1 | -30,101,333 |
Let's try dividing by 4:
30,101,333 ÷ 4 = 7,525,333.25
If the quotient is a whole number, then 4 and 7,525,333.25 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 | 30,101,333 | |
| -1 | 30,101,333 |
If you did it right, you will end up with this table:
| 1 | 29 | 43 | 101 | 239 | 1,247 | 2,929 | 4,343 | 6,931 | 10,277 | 24,139 | 125,947 | 298,033 | 700,031 | 1,037,977 | 30,101,333 |
| -1 | -29 | -43 | -101 | -239 | -1,247 | -2,929 | -4,343 | -6,931 | -10,277 | -24,139 | -125,947 | -298,033 | -700,031 | -1,037,977 | -30,101,333 |
Here are some more numbers to try:
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