A:
Positive:
1 x 151150255 x 302300523 x 65717525 x 60460197 x 155825115 x 131435271 x 55775485 x 31165575 x 262871355 x 111552231 x 67752425 x 6233
Negative:
-1 x -15115025-5 x -3023005-23 x -657175-25 x -604601-97 x -155825-115 x -131435-271 x -55775-485 x -31165-575 x -26287-1355 x -11155-2231 x -6775-2425 x -6233
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 15,115,025, 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 | 15,115,025 | |
| -1 | -15,115,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 15,115,025.
Example:
1 x 15,115,025 = 15,115,025
and
-1 x -15,115,025 = 15,115,025
Notice both answers equal 15,115,025
With that explanation out of the way, let's continue. Next, we take the number 15,115,025 and divide it by 2:
15,115,025 ÷ 2 = 7,557,512.5
If the quotient is a whole number, then 2 and 7,557,512.5 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 | 15,115,025 | |
| -1 | -15,115,025 |
Now, we try dividing 15,115,025 by 3:
15,115,025 ÷ 3 = 5,038,341.6667
If the quotient is a whole number, then 3 and 5,038,341.6667 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 | 15,115,025 | |
| -1 | -15,115,025 |
Let's try dividing by 4:
15,115,025 ÷ 4 = 3,778,756.25
If the quotient is a whole number, then 4 and 3,778,756.25 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 | 15,115,025 | |
| -1 | 15,115,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 23 | 25 | 97 | 115 | 271 | 485 | 575 | 1,355 | 2,231 | 2,425 | 6,233 | 6,775 | 11,155 | 26,287 | 31,165 | 55,775 | 131,435 | 155,825 | 604,601 | 657,175 | 3,023,005 | 15,115,025 |
| -1 | -5 | -23 | -25 | -97 | -115 | -271 | -485 | -575 | -1,355 | -2,231 | -2,425 | -6,233 | -6,775 | -11,155 | -26,287 | -31,165 | -55,775 | -131,435 | -155,825 | -604,601 | -657,175 | -3,023,005 | -15,115,025 |
Here are some more numbers to try:
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