A:
Positive:
1 x 2525125022 x 1262562513 x 841708346 x 4208541711 x 2295568222 x 1147784133 x 765189466 x 3825947
Negative:
-1 x -252512502-2 x -126256251-3 x -84170834-6 x -42085417-11 x -22955682-22 x -11477841-33 x -7651894-66 x -3825947
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 252,512,502, 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 | 252,512,502 | |
| -1 | -252,512,502 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 252,512,502.
Example:
1 x 252,512,502 = 252,512,502
and
-1 x -252,512,502 = 252,512,502
Notice both answers equal 252,512,502
With that explanation out of the way, let's continue. Next, we take the number 252,512,502 and divide it by 2:
252,512,502 ÷ 2 = 126,256,251
If the quotient is a whole number, then 2 and 126,256,251 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!
Here is what our table should look like at this step:
| 1 | 2 | 126,256,251 | 252,512,502 | |
| -1 | -2 | -126,256,251 | -252,512,502 |
Now, we try dividing 252,512,502 by 3:
252,512,502 ÷ 3 = 84,170,834
If the quotient is a whole number, then 3 and 84,170,834 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!
Here is what our table should look like at this step:
| 1 | 2 | 3 | 84,170,834 | 126,256,251 | 252,512,502 | |
| -1 | -2 | -3 | -84,170,834 | -126,256,251 | -252,512,502 |
Let's try dividing by 4:
252,512,502 ÷ 4 = 63,128,125.5
If the quotient is a whole number, then 4 and 63,128,125.5 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 | 2 | 3 | 84,170,834 | 126,256,251 | 252,512,502 | |
| -1 | -2 | -3 | -84,170,834 | -126,256,251 | 252,512,502 |
If you did it right, you will end up with this table:
| 1 | 2 | 3 | 6 | 11 | 22 | 33 | 66 | 3,825,947 | 7,651,894 | 11,477,841 | 22,955,682 | 42,085,417 | 84,170,834 | 126,256,251 | 252,512,502 |
| -1 | -2 | -3 | -6 | -11 | -22 | -33 | -66 | -3,825,947 | -7,651,894 | -11,477,841 | -22,955,682 | -42,085,417 | -84,170,834 | -126,256,251 | -252,512,502 |
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