A:
Positive:
1 x 1240120255 x 2480240517 x 729482525 x 496048185 x 1458965109 x 1137725425 x 291793545 x 2275451853 x 669252677 x 463252725 x 455099265 x 13385
Negative:
-1 x -124012025-5 x -24802405-17 x -7294825-25 x -4960481-85 x -1458965-109 x -1137725-425 x -291793-545 x -227545-1853 x -66925-2677 x -46325-2725 x -45509-9265 x -13385
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 124,012,025, 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 | 124,012,025 | |
| -1 | -124,012,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 124,012,025.
Example:
1 x 124,012,025 = 124,012,025
and
-1 x -124,012,025 = 124,012,025
Notice both answers equal 124,012,025
With that explanation out of the way, let's continue. Next, we take the number 124,012,025 and divide it by 2:
124,012,025 ÷ 2 = 62,006,012.5
If the quotient is a whole number, then 2 and 62,006,012.5 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 | 124,012,025 | |
| -1 | -124,012,025 |
Now, we try dividing 124,012,025 by 3:
124,012,025 ÷ 3 = 41,337,341.6667
If the quotient is a whole number, then 3 and 41,337,341.6667 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 | 124,012,025 | |
| -1 | -124,012,025 |
Let's try dividing by 4:
124,012,025 ÷ 4 = 31,003,006.25
If the quotient is a whole number, then 4 and 31,003,006.25 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 | 124,012,025 | |
| -1 | 124,012,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 17 | 25 | 85 | 109 | 425 | 545 | 1,853 | 2,677 | 2,725 | 9,265 | 13,385 | 45,509 | 46,325 | 66,925 | 227,545 | 291,793 | 1,137,725 | 1,458,965 | 4,960,481 | 7,294,825 | 24,802,405 | 124,012,025 |
| -1 | -5 | -17 | -25 | -85 | -109 | -425 | -545 | -1,853 | -2,677 | -2,725 | -9,265 | -13,385 | -45,509 | -46,325 | -66,925 | -227,545 | -291,793 | -1,137,725 | -1,458,965 | -4,960,481 | -7,294,825 | -24,802,405 | -124,012,025 |
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