A:
Positive:
1 x 257531477 x 367902117 x 151489137 x 696031119 x 216413259 x 99433629 x 409434403 x 5849
Negative:
-1 x -25753147-7 x -3679021-17 x -1514891-37 x -696031-119 x -216413-259 x -99433-629 x -40943-4403 x -5849
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 25,753,147, 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 | 25,753,147 | |
| -1 | -25,753,147 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 25,753,147.
Example:
1 x 25,753,147 = 25,753,147
and
-1 x -25,753,147 = 25,753,147
Notice both answers equal 25,753,147
With that explanation out of the way, let's continue. Next, we take the number 25,753,147 and divide it by 2:
25,753,147 ÷ 2 = 12,876,573.5
If the quotient is a whole number, then 2 and 12,876,573.5 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 | 25,753,147 | |
| -1 | -25,753,147 |
Now, we try dividing 25,753,147 by 3:
25,753,147 ÷ 3 = 8,584,382.3333
If the quotient is a whole number, then 3 and 8,584,382.3333 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 | 25,753,147 | |
| -1 | -25,753,147 |
Let's try dividing by 4:
25,753,147 ÷ 4 = 6,438,286.75
If the quotient is a whole number, then 4 and 6,438,286.75 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 | 25,753,147 | |
| -1 | 25,753,147 |
If you did it right, you will end up with this table:
| 1 | 7 | 17 | 37 | 119 | 259 | 629 | 4,403 | 5,849 | 40,943 | 99,433 | 216,413 | 696,031 | 1,514,891 | 3,679,021 | 25,753,147 |
| -1 | -7 | -17 | -37 | -119 | -259 | -629 | -4,403 | -5,849 | -40,943 | -99,433 | -216,413 | -696,031 | -1,514,891 | -3,679,021 | -25,753,147 |
Here are some more numbers to try:
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