A:
Positive:
1 x 253101317 x 361573311 x 230092177 x 328703257 x 984831279 x 197891799 x 140692827 x 8953
Negative:
-1 x -25310131-7 x -3615733-11 x -2300921-77 x -328703-257 x -98483-1279 x -19789-1799 x -14069-2827 x -8953
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 25,310,131, 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 | 25,310,131 | |
| -1 | -25,310,131 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 25,310,131.
Example:
1 x 25,310,131 = 25,310,131
and
-1 x -25,310,131 = 25,310,131
Notice both answers equal 25,310,131
With that explanation out of the way, let's continue. Next, we take the number 25,310,131 and divide it by 2:
25,310,131 ÷ 2 = 12,655,065.5
If the quotient is a whole number, then 2 and 12,655,065.5 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 | 25,310,131 | |
| -1 | -25,310,131 |
Now, we try dividing 25,310,131 by 3:
25,310,131 ÷ 3 = 8,436,710.3333
If the quotient is a whole number, then 3 and 8,436,710.3333 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 | 25,310,131 | |
| -1 | -25,310,131 |
Let's try dividing by 4:
25,310,131 ÷ 4 = 6,327,532.75
If the quotient is a whole number, then 4 and 6,327,532.75 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 | 25,310,131 | |
| -1 | 25,310,131 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 77 | 257 | 1,279 | 1,799 | 2,827 | 8,953 | 14,069 | 19,789 | 98,483 | 328,703 | 2,300,921 | 3,615,733 | 25,310,131 |
| -1 | -7 | -11 | -77 | -257 | -1,279 | -1,799 | -2,827 | -8,953 | -14,069 | -19,789 | -98,483 | -328,703 | -2,300,921 | -3,615,733 | -25,310,131 |
Here are some more numbers to try:
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