A:
Positive:
1 x 1205151255 x 2410302517 x 708912525 x 482060585 x 1417825125 x 964121425 x 2835652125 x 56713
Negative:
-1 x -120515125-5 x -24103025-17 x -7089125-25 x -4820605-85 x -1417825-125 x -964121-425 x -283565-2125 x -56713
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 120,515,125, 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 | 120,515,125 | |
| -1 | -120,515,125 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 120,515,125.
Example:
1 x 120,515,125 = 120,515,125
and
-1 x -120,515,125 = 120,515,125
Notice both answers equal 120,515,125
With that explanation out of the way, let's continue. Next, we take the number 120,515,125 and divide it by 2:
120,515,125 ÷ 2 = 60,257,562.5
If the quotient is a whole number, then 2 and 60,257,562.5 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 | 120,515,125 | |
| -1 | -120,515,125 |
Now, we try dividing 120,515,125 by 3:
120,515,125 ÷ 3 = 40,171,708.3333
If the quotient is a whole number, then 3 and 40,171,708.3333 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 | 120,515,125 | |
| -1 | -120,515,125 |
Let's try dividing by 4:
120,515,125 ÷ 4 = 30,128,781.25
If the quotient is a whole number, then 4 and 30,128,781.25 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 | 120,515,125 | |
| -1 | 120,515,125 |
If you did it right, you will end up with this table:
| 1 | 5 | 17 | 25 | 85 | 125 | 425 | 2,125 | 56,713 | 283,565 | 964,121 | 1,417,825 | 4,820,605 | 7,089,125 | 24,103,025 | 120,515,125 |
| -1 | -5 | -17 | -25 | -85 | -125 | -425 | -2,125 | -56,713 | -283,565 | -964,121 | -1,417,825 | -4,820,605 | -7,089,125 | -24,103,025 | -120,515,125 |
Here are some more numbers to try:
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