A:
Positive:
1 x 252160255 x 504320525 x 100864141 x 61502573 x 345425205 x 123005337 x 74825365 x 690851025 x 246011685 x 149651825 x 138172993 x 8425
Negative:
-1 x -25216025-5 x -5043205-25 x -1008641-41 x -615025-73 x -345425-205 x -123005-337 x -74825-365 x -69085-1025 x -24601-1685 x -14965-1825 x -13817-2993 x -8425
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 25,216,025, 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 | 25,216,025 | |
| -1 | -25,216,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 25,216,025.
Example:
1 x 25,216,025 = 25,216,025
and
-1 x -25,216,025 = 25,216,025
Notice both answers equal 25,216,025
With that explanation out of the way, let's continue. Next, we take the number 25,216,025 and divide it by 2:
25,216,025 ÷ 2 = 12,608,012.5
If the quotient is a whole number, then 2 and 12,608,012.5 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 | 25,216,025 | |
| -1 | -25,216,025 |
Now, we try dividing 25,216,025 by 3:
25,216,025 ÷ 3 = 8,405,341.6667
If the quotient is a whole number, then 3 and 8,405,341.6667 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 | 25,216,025 | |
| -1 | -25,216,025 |
Let's try dividing by 4:
25,216,025 ÷ 4 = 6,304,006.25
If the quotient is a whole number, then 4 and 6,304,006.25 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 | 25,216,025 | |
| -1 | 25,216,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 41 | 73 | 205 | 337 | 365 | 1,025 | 1,685 | 1,825 | 2,993 | 8,425 | 13,817 | 14,965 | 24,601 | 69,085 | 74,825 | 123,005 | 345,425 | 615,025 | 1,008,641 | 5,043,205 | 25,216,025 |
| -1 | -5 | -25 | -41 | -73 | -205 | -337 | -365 | -1,025 | -1,685 | -1,825 | -2,993 | -8,425 | -13,817 | -14,965 | -24,601 | -69,085 | -74,825 | -123,005 | -345,425 | -615,025 | -1,008,641 | -5,043,205 | -25,216,025 |
Here are some more numbers to try:
Try the factor calculator