A:
Positive:
1 x 5122222497 x 7317460711 x 4656565977 x 6652237271 x 18901191897 x 2700172981 x 17182920867 x 24547
Negative:
-1 x -512222249-7 x -73174607-11 x -46565659-77 x -6652237-271 x -1890119-1897 x -270017-2981 x -171829-20867 x -24547
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 512,222,249, 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 | 512,222,249 | |
| -1 | -512,222,249 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 512,222,249.
Example:
1 x 512,222,249 = 512,222,249
and
-1 x -512,222,249 = 512,222,249
Notice both answers equal 512,222,249
With that explanation out of the way, let's continue. Next, we take the number 512,222,249 and divide it by 2:
512,222,249 ÷ 2 = 256,111,124.5
If the quotient is a whole number, then 2 and 256,111,124.5 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 | 512,222,249 | |
| -1 | -512,222,249 |
Now, we try dividing 512,222,249 by 3:
512,222,249 ÷ 3 = 170,740,749.6667
If the quotient is a whole number, then 3 and 170,740,749.6667 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 | 512,222,249 | |
| -1 | -512,222,249 |
Let's try dividing by 4:
512,222,249 ÷ 4 = 128,055,562.25
If the quotient is a whole number, then 4 and 128,055,562.25 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 | 512,222,249 | |
| -1 | 512,222,249 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 77 | 271 | 1,897 | 2,981 | 20,867 | 24,547 | 171,829 | 270,017 | 1,890,119 | 6,652,237 | 46,565,659 | 73,174,607 | 512,222,249 |
| -1 | -7 | -11 | -77 | -271 | -1,897 | -2,981 | -20,867 | -24,547 | -171,829 | -270,017 | -1,890,119 | -6,652,237 | -46,565,659 | -73,174,607 | -512,222,249 |
Here are some more numbers to try:
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