A:
Positive:
1 x 5121344417 x 7316206313 x 3939495791 x 5627851223 x 22965671561 x 3280812899 x 17665920293 x 25237
Negative:
-1 x -512134441-7 x -73162063-13 x -39394957-91 x -5627851-223 x -2296567-1561 x -328081-2899 x -176659-20293 x -25237
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 512,134,441, 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 | 512,134,441 | |
| -1 | -512,134,441 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 512,134,441.
Example:
1 x 512,134,441 = 512,134,441
and
-1 x -512,134,441 = 512,134,441
Notice both answers equal 512,134,441
With that explanation out of the way, let's continue. Next, we take the number 512,134,441 and divide it by 2:
512,134,441 ÷ 2 = 256,067,220.5
If the quotient is a whole number, then 2 and 256,067,220.5 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 | 512,134,441 | |
| -1 | -512,134,441 |
Now, we try dividing 512,134,441 by 3:
512,134,441 ÷ 3 = 170,711,480.3333
If the quotient is a whole number, then 3 and 170,711,480.3333 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 | 512,134,441 | |
| -1 | -512,134,441 |
Let's try dividing by 4:
512,134,441 ÷ 4 = 128,033,610.25
If the quotient is a whole number, then 4 and 128,033,610.25 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 | 512,134,441 | |
| -1 | 512,134,441 |
If you did it right, you will end up with this table:
| 1 | 7 | 13 | 91 | 223 | 1,561 | 2,899 | 20,293 | 25,237 | 176,659 | 328,081 | 2,296,567 | 5,627,851 | 39,394,957 | 73,162,063 | 512,134,441 |
| -1 | -7 | -13 | -91 | -223 | -1,561 | -2,899 | -20,293 | -25,237 | -176,659 | -328,081 | -2,296,567 | -5,627,851 | -39,394,957 | -73,162,063 | -512,134,441 |
Here are some more numbers to try:
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