A:
Positive:
1 x 257562417 x 367946317 x 151507341 x 628201119 x 216439287 x 89743697 x 369534879 x 5279
Negative:
-1 x -25756241-7 x -3679463-17 x -1515073-41 x -628201-119 x -216439-287 x -89743-697 x -36953-4879 x -5279
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 25,756,241, 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 | 25,756,241 | |
| -1 | -25,756,241 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 25,756,241.
Example:
1 x 25,756,241 = 25,756,241
and
-1 x -25,756,241 = 25,756,241
Notice both answers equal 25,756,241
With that explanation out of the way, let's continue. Next, we take the number 25,756,241 and divide it by 2:
25,756,241 ÷ 2 = 12,878,120.5
If the quotient is a whole number, then 2 and 12,878,120.5 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 | 25,756,241 | |
| -1 | -25,756,241 |
Now, we try dividing 25,756,241 by 3:
25,756,241 ÷ 3 = 8,585,413.6667
If the quotient is a whole number, then 3 and 8,585,413.6667 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 | 25,756,241 | |
| -1 | -25,756,241 |
Let's try dividing by 4:
25,756,241 ÷ 4 = 6,439,060.25
If the quotient is a whole number, then 4 and 6,439,060.25 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 | 25,756,241 | |
| -1 | 25,756,241 |
If you did it right, you will end up with this table:
| 1 | 7 | 17 | 41 | 119 | 287 | 697 | 4,879 | 5,279 | 36,953 | 89,743 | 216,439 | 628,201 | 1,515,073 | 3,679,463 | 25,756,241 |
| -1 | -7 | -17 | -41 | -119 | -287 | -697 | -4,879 | -5,279 | -36,953 | -89,743 | -216,439 | -628,201 | -1,515,073 | -3,679,463 | -25,756,241 |
Here are some more numbers to try:
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