A:
Positive:
1 x 1235250255 x 2470500513 x 950192525 x 494100143 x 287267565 x 1900385215 x 574535325 x 380077559 x 2209751075 x 1149072795 x 441958839 x 13975
Negative:
-1 x -123525025-5 x -24705005-13 x -9501925-25 x -4941001-43 x -2872675-65 x -1900385-215 x -574535-325 x -380077-559 x -220975-1075 x -114907-2795 x -44195-8839 x -13975
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 123,525,025, 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 | 123,525,025 | |
| -1 | -123,525,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 123,525,025.
Example:
1 x 123,525,025 = 123,525,025
and
-1 x -123,525,025 = 123,525,025
Notice both answers equal 123,525,025
With that explanation out of the way, let's continue. Next, we take the number 123,525,025 and divide it by 2:
123,525,025 ÷ 2 = 61,762,512.5
If the quotient is a whole number, then 2 and 61,762,512.5 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 | 123,525,025 | |
| -1 | -123,525,025 |
Now, we try dividing 123,525,025 by 3:
123,525,025 ÷ 3 = 41,175,008.3333
If the quotient is a whole number, then 3 and 41,175,008.3333 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 | 123,525,025 | |
| -1 | -123,525,025 |
Let's try dividing by 4:
123,525,025 ÷ 4 = 30,881,256.25
If the quotient is a whole number, then 4 and 30,881,256.25 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 | 123,525,025 | |
| -1 | 123,525,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 25 | 43 | 65 | 215 | 325 | 559 | 1,075 | 2,795 | 8,839 | 13,975 | 44,195 | 114,907 | 220,975 | 380,077 | 574,535 | 1,900,385 | 2,872,675 | 4,941,001 | 9,501,925 | 24,705,005 | 123,525,025 |
| -1 | -5 | -13 | -25 | -43 | -65 | -215 | -325 | -559 | -1,075 | -2,795 | -8,839 | -13,975 | -44,195 | -114,907 | -220,975 | -380,077 | -574,535 | -1,900,385 | -2,872,675 | -4,941,001 | -9,501,925 | -24,705,005 | -123,525,025 |
Here are some more numbers to try:
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