A:
Positive:
1 x 2535772131 x 81799141 x 61848171 x 357151281 x 902411271 x 199512201 x 115212911 x 8711
Negative:
-1 x -25357721-31 x -817991-41 x -618481-71 x -357151-281 x -90241-1271 x -19951-2201 x -11521-2911 x -8711
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 25,357,721, 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 | 25,357,721 | |
| -1 | -25,357,721 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 25,357,721.
Example:
1 x 25,357,721 = 25,357,721
and
-1 x -25,357,721 = 25,357,721
Notice both answers equal 25,357,721
With that explanation out of the way, let's continue. Next, we take the number 25,357,721 and divide it by 2:
25,357,721 ÷ 2 = 12,678,860.5
If the quotient is a whole number, then 2 and 12,678,860.5 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 | 25,357,721 | |
| -1 | -25,357,721 |
Now, we try dividing 25,357,721 by 3:
25,357,721 ÷ 3 = 8,452,573.6667
If the quotient is a whole number, then 3 and 8,452,573.6667 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 | 25,357,721 | |
| -1 | -25,357,721 |
Let's try dividing by 4:
25,357,721 ÷ 4 = 6,339,430.25
If the quotient is a whole number, then 4 and 6,339,430.25 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 | 25,357,721 | |
| -1 | 25,357,721 |
If you did it right, you will end up with this table:
| 1 | 31 | 41 | 71 | 281 | 1,271 | 2,201 | 2,911 | 8,711 | 11,521 | 19,951 | 90,241 | 357,151 | 618,481 | 817,991 | 25,357,721 |
| -1 | -31 | -41 | -71 | -281 | -1,271 | -2,201 | -2,911 | -8,711 | -11,521 | -19,951 | -90,241 | -357,151 | -618,481 | -817,991 | -25,357,721 |
Here are some more numbers to try:
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