A:
Positive:
1 x 305430055 x 610860161 x 500705239 x 127795305 x 100141419 x 728951195 x 255592095 x 14579
Negative:
-1 x -30543005-5 x -6108601-61 x -500705-239 x -127795-305 x -100141-419 x -72895-1195 x -25559-2095 x -14579
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 30,543,005, 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 | 30,543,005 | |
| -1 | -30,543,005 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 30,543,005.
Example:
1 x 30,543,005 = 30,543,005
and
-1 x -30,543,005 = 30,543,005
Notice both answers equal 30,543,005
With that explanation out of the way, let's continue. Next, we take the number 30,543,005 and divide it by 2:
30,543,005 ÷ 2 = 15,271,502.5
If the quotient is a whole number, then 2 and 15,271,502.5 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 | 30,543,005 | |
| -1 | -30,543,005 |
Now, we try dividing 30,543,005 by 3:
30,543,005 ÷ 3 = 10,181,001.6667
If the quotient is a whole number, then 3 and 10,181,001.6667 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 | 30,543,005 | |
| -1 | -30,543,005 |
Let's try dividing by 4:
30,543,005 ÷ 4 = 7,635,751.25
If the quotient is a whole number, then 4 and 7,635,751.25 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 | 30,543,005 | |
| -1 | 30,543,005 |
If you did it right, you will end up with this table:
| 1 | 5 | 61 | 239 | 305 | 419 | 1,195 | 2,095 | 14,579 | 25,559 | 72,895 | 100,141 | 127,795 | 500,705 | 6,108,601 | 30,543,005 |
| -1 | -5 | -61 | -239 | -305 | -419 | -1,195 | -2,095 | -14,579 | -25,559 | -72,895 | -100,141 | -127,795 | -500,705 | -6,108,601 | -30,543,005 |
Here are some more numbers to try:
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