A:
Positive:
1 x 5165110255 x 10330220525 x 2066044129 x 17810725145 x 3562145725 x 712429
Negative:
-1 x -516511025-5 x -103302205-25 x -20660441-29 x -17810725-145 x -3562145-725 x -712429
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 516,511,025, 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 | 516,511,025 | |
| -1 | -516,511,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 516,511,025.
Example:
1 x 516,511,025 = 516,511,025
and
-1 x -516,511,025 = 516,511,025
Notice both answers equal 516,511,025
With that explanation out of the way, let's continue. Next, we take the number 516,511,025 and divide it by 2:
516,511,025 ÷ 2 = 258,255,512.5
If the quotient is a whole number, then 2 and 258,255,512.5 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 | 516,511,025 | |
| -1 | -516,511,025 |
Now, we try dividing 516,511,025 by 3:
516,511,025 ÷ 3 = 172,170,341.6667
If the quotient is a whole number, then 3 and 172,170,341.6667 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 | 516,511,025 | |
| -1 | -516,511,025 |
Let's try dividing by 4:
516,511,025 ÷ 4 = 129,127,756.25
If the quotient is a whole number, then 4 and 129,127,756.25 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 | 516,511,025 | |
| -1 | 516,511,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 29 | 145 | 725 | 712,429 | 3,562,145 | 17,810,725 | 20,660,441 | 103,302,205 | 516,511,025 |
| -1 | -5 | -25 | -29 | -145 | -725 | -712,429 | -3,562,145 | -17,810,725 | -20,660,441 | -103,302,205 | -516,511,025 |
Here are some more numbers to try:
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