A:
Positive:
1 x 279457437 x 399224943 x 649901227 x 123109301 x 92843409 x 683271589 x 175872863 x 9761
Negative:
-1 x -27945743-7 x -3992249-43 x -649901-227 x -123109-301 x -92843-409 x -68327-1589 x -17587-2863 x -9761
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 27,945,743, 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 | 27,945,743 | |
| -1 | -27,945,743 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 27,945,743.
Example:
1 x 27,945,743 = 27,945,743
and
-1 x -27,945,743 = 27,945,743
Notice both answers equal 27,945,743
With that explanation out of the way, let's continue. Next, we take the number 27,945,743 and divide it by 2:
27,945,743 ÷ 2 = 13,972,871.5
If the quotient is a whole number, then 2 and 13,972,871.5 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 | 27,945,743 | |
| -1 | -27,945,743 |
Now, we try dividing 27,945,743 by 3:
27,945,743 ÷ 3 = 9,315,247.6667
If the quotient is a whole number, then 3 and 9,315,247.6667 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 | 27,945,743 | |
| -1 | -27,945,743 |
Let's try dividing by 4:
27,945,743 ÷ 4 = 6,986,435.75
If the quotient is a whole number, then 4 and 6,986,435.75 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 | 27,945,743 | |
| -1 | 27,945,743 |
If you did it right, you will end up with this table:
| 1 | 7 | 43 | 227 | 301 | 409 | 1,589 | 2,863 | 9,761 | 17,587 | 68,327 | 92,843 | 123,109 | 649,901 | 3,992,249 | 27,945,743 |
| -1 | -7 | -43 | -227 | -301 | -409 | -1,589 | -2,863 | -9,761 | -17,587 | -68,327 | -92,843 | -123,109 | -649,901 | -3,992,249 | -27,945,743 |
Here are some more numbers to try:
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