A:
Positive:
1 x 30014021341 x 732049397 x 3094229163 x 1841351463 x 6482513977 x 754696683 x 4491115811 x 18983
Negative:
-1 x -300140213-41 x -7320493-97 x -3094229-163 x -1841351-463 x -648251-3977 x -75469-6683 x -44911-15811 x -18983
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 300,140,213, 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 | 300,140,213 | |
| -1 | -300,140,213 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 300,140,213.
Example:
1 x 300,140,213 = 300,140,213
and
-1 x -300,140,213 = 300,140,213
Notice both answers equal 300,140,213
With that explanation out of the way, let's continue. Next, we take the number 300,140,213 and divide it by 2:
300,140,213 ÷ 2 = 150,070,106.5
If the quotient is a whole number, then 2 and 150,070,106.5 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 | 300,140,213 | |
| -1 | -300,140,213 |
Now, we try dividing 300,140,213 by 3:
300,140,213 ÷ 3 = 100,046,737.6667
If the quotient is a whole number, then 3 and 100,046,737.6667 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 | 300,140,213 | |
| -1 | -300,140,213 |
Let's try dividing by 4:
300,140,213 ÷ 4 = 75,035,053.25
If the quotient is a whole number, then 4 and 75,035,053.25 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 | 300,140,213 | |
| -1 | 300,140,213 |
If you did it right, you will end up with this table:
| 1 | 41 | 97 | 163 | 463 | 3,977 | 6,683 | 15,811 | 18,983 | 44,911 | 75,469 | 648,251 | 1,841,351 | 3,094,229 | 7,320,493 | 300,140,213 |
| -1 | -41 | -97 | -163 | -463 | -3,977 | -6,683 | -15,811 | -18,983 | -44,911 | -75,469 | -648,251 | -1,841,351 | -3,094,229 | -7,320,493 | -300,140,213 |
Here are some more numbers to try:
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