A:
Positive:
1 x 251233255 x 502466525 x 100493353 x 47402567 x 374975265 x 94805283 x 88775335 x 749951325 x 189611415 x 177551675 x 149993551 x 7075
Negative:
-1 x -25123325-5 x -5024665-25 x -1004933-53 x -474025-67 x -374975-265 x -94805-283 x -88775-335 x -74995-1325 x -18961-1415 x -17755-1675 x -14999-3551 x -7075
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 25,123,325, 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 | 25,123,325 | |
| -1 | -25,123,325 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 25,123,325.
Example:
1 x 25,123,325 = 25,123,325
and
-1 x -25,123,325 = 25,123,325
Notice both answers equal 25,123,325
With that explanation out of the way, let's continue. Next, we take the number 25,123,325 and divide it by 2:
25,123,325 ÷ 2 = 12,561,662.5
If the quotient is a whole number, then 2 and 12,561,662.5 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 | 25,123,325 | |
| -1 | -25,123,325 |
Now, we try dividing 25,123,325 by 3:
25,123,325 ÷ 3 = 8,374,441.6667
If the quotient is a whole number, then 3 and 8,374,441.6667 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 | 25,123,325 | |
| -1 | -25,123,325 |
Let's try dividing by 4:
25,123,325 ÷ 4 = 6,280,831.25
If the quotient is a whole number, then 4 and 6,280,831.25 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 | 25,123,325 | |
| -1 | 25,123,325 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 53 | 67 | 265 | 283 | 335 | 1,325 | 1,415 | 1,675 | 3,551 | 7,075 | 14,999 | 17,755 | 18,961 | 74,995 | 88,775 | 94,805 | 374,975 | 474,025 | 1,004,933 | 5,024,665 | 25,123,325 |
| -1 | -5 | -25 | -53 | -67 | -265 | -283 | -335 | -1,325 | -1,415 | -1,675 | -3,551 | -7,075 | -14,999 | -17,755 | -18,961 | -74,995 | -88,775 | -94,805 | -374,975 | -474,025 | -1,004,933 | -5,024,665 | -25,123,325 |
Here are some more numbers to try:
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