A:
Positive:
1 x 2351200255 x 470240057 x 3358857525 x 940480135 x 6717715175 x 1343543229 x 10267251145 x 2053451603 x 1466755725 x 410695867 x 400758015 x 29335
Negative:
-1 x -235120025-5 x -47024005-7 x -33588575-25 x -9404801-35 x -6717715-175 x -1343543-229 x -1026725-1145 x -205345-1603 x -146675-5725 x -41069-5867 x -40075-8015 x -29335
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 235,120,025, 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 | 235,120,025 | |
| -1 | -235,120,025 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 235,120,025.
Example:
1 x 235,120,025 = 235,120,025
and
-1 x -235,120,025 = 235,120,025
Notice both answers equal 235,120,025
With that explanation out of the way, let's continue. Next, we take the number 235,120,025 and divide it by 2:
235,120,025 ÷ 2 = 117,560,012.5
If the quotient is a whole number, then 2 and 117,560,012.5 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 | 235,120,025 | |
| -1 | -235,120,025 |
Now, we try dividing 235,120,025 by 3:
235,120,025 ÷ 3 = 78,373,341.6667
If the quotient is a whole number, then 3 and 78,373,341.6667 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 | 235,120,025 | |
| -1 | -235,120,025 |
Let's try dividing by 4:
235,120,025 ÷ 4 = 58,780,006.25
If the quotient is a whole number, then 4 and 58,780,006.25 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 | 235,120,025 | |
| -1 | 235,120,025 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 25 | 35 | 175 | 229 | 1,145 | 1,603 | 5,725 | 5,867 | 8,015 | 29,335 | 40,075 | 41,069 | 146,675 | 205,345 | 1,026,725 | 1,343,543 | 6,717,715 | 9,404,801 | 33,588,575 | 47,024,005 | 235,120,025 |
| -1 | -5 | -7 | -25 | -35 | -175 | -229 | -1,145 | -1,603 | -5,725 | -5,867 | -8,015 | -29,335 | -40,075 | -41,069 | -146,675 | -205,345 | -1,026,725 | -1,343,543 | -6,717,715 | -9,404,801 | -33,588,575 | -47,024,005 | -235,120,025 |
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