A:
Positive:
1 x 5131101255 x 10262202511 x 4664637525 x 2052440555 x 9329275125 x 4104881275 x 18658551375 x 373171
Negative:
-1 x -513110125-5 x -102622025-11 x -46646375-25 x -20524405-55 x -9329275-125 x -4104881-275 x -1865855-1375 x -373171
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 513,110,125, 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 | 513,110,125 | |
| -1 | -513,110,125 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 513,110,125.
Example:
1 x 513,110,125 = 513,110,125
and
-1 x -513,110,125 = 513,110,125
Notice both answers equal 513,110,125
With that explanation out of the way, let's continue. Next, we take the number 513,110,125 and divide it by 2:
513,110,125 ÷ 2 = 256,555,062.5
If the quotient is a whole number, then 2 and 256,555,062.5 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 | 513,110,125 | |
| -1 | -513,110,125 |
Now, we try dividing 513,110,125 by 3:
513,110,125 ÷ 3 = 171,036,708.3333
If the quotient is a whole number, then 3 and 171,036,708.3333 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 | 513,110,125 | |
| -1 | -513,110,125 |
Let's try dividing by 4:
513,110,125 ÷ 4 = 128,277,531.25
If the quotient is a whole number, then 4 and 128,277,531.25 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 | 513,110,125 | |
| -1 | 513,110,125 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 25 | 55 | 125 | 275 | 1,375 | 373,171 | 1,865,855 | 4,104,881 | 9,329,275 | 20,524,405 | 46,646,375 | 102,622,025 | 513,110,125 |
| -1 | -5 | -11 | -25 | -55 | -125 | -275 | -1,375 | -373,171 | -1,865,855 | -4,104,881 | -9,329,275 | -20,524,405 | -46,646,375 | -102,622,025 | -513,110,125 |
Here are some more numbers to try:
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