A:
Positive:
1 x 1260351255 x 2520702525 x 504140589 x 1416125125 x 1008281445 x 2832252225 x 5664511125 x 11329
Negative:
-1 x -126035125-5 x -25207025-25 x -5041405-89 x -1416125-125 x -1008281-445 x -283225-2225 x -56645-11125 x -11329
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 126,035,125, 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 | 126,035,125 | |
| -1 | -126,035,125 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 126,035,125.
Example:
1 x 126,035,125 = 126,035,125
and
-1 x -126,035,125 = 126,035,125
Notice both answers equal 126,035,125
With that explanation out of the way, let's continue. Next, we take the number 126,035,125 and divide it by 2:
126,035,125 ÷ 2 = 63,017,562.5
If the quotient is a whole number, then 2 and 63,017,562.5 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 | 126,035,125 | |
| -1 | -126,035,125 |
Now, we try dividing 126,035,125 by 3:
126,035,125 ÷ 3 = 42,011,708.3333
If the quotient is a whole number, then 3 and 42,011,708.3333 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 | 126,035,125 | |
| -1 | -126,035,125 |
Let's try dividing by 4:
126,035,125 ÷ 4 = 31,508,781.25
If the quotient is a whole number, then 4 and 31,508,781.25 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 | 126,035,125 | |
| -1 | 126,035,125 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 89 | 125 | 445 | 2,225 | 11,125 | 11,329 | 56,645 | 283,225 | 1,008,281 | 1,416,125 | 5,041,405 | 25,207,025 | 126,035,125 |
| -1 | -5 | -25 | -89 | -125 | -445 | -2,225 | -11,125 | -11,329 | -56,645 | -283,225 | -1,008,281 | -1,416,125 | -5,041,405 | -25,207,025 | -126,035,125 |
Here are some more numbers to try:
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