A:
Positive:
1 x 2351304055 x 4702608129 x 8107945145 x 1621589151 x 1557155755 x 3114314379 x 5369510739 x 21895
Negative:
-1 x -235130405-5 x -47026081-29 x -8107945-145 x -1621589-151 x -1557155-755 x -311431-4379 x -53695-10739 x -21895
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 235,130,405, 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 | 235,130,405 | |
| -1 | -235,130,405 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 235,130,405.
Example:
1 x 235,130,405 = 235,130,405
and
-1 x -235,130,405 = 235,130,405
Notice both answers equal 235,130,405
With that explanation out of the way, let's continue. Next, we take the number 235,130,405 and divide it by 2:
235,130,405 ÷ 2 = 117,565,202.5
If the quotient is a whole number, then 2 and 117,565,202.5 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 | 235,130,405 | |
| -1 | -235,130,405 |
Now, we try dividing 235,130,405 by 3:
235,130,405 ÷ 3 = 78,376,801.6667
If the quotient is a whole number, then 3 and 78,376,801.6667 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 | 235,130,405 | |
| -1 | -235,130,405 |
Let's try dividing by 4:
235,130,405 ÷ 4 = 58,782,601.25
If the quotient is a whole number, then 4 and 58,782,601.25 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 | 235,130,405 | |
| -1 | 235,130,405 |
If you did it right, you will end up with this table:
| 1 | 5 | 29 | 145 | 151 | 755 | 4,379 | 10,739 | 21,895 | 53,695 | 311,431 | 1,557,155 | 1,621,589 | 8,107,945 | 47,026,081 | 235,130,405 |
| -1 | -5 | -29 | -145 | -151 | -755 | -4,379 | -10,739 | -21,895 | -53,695 | -311,431 | -1,557,155 | -1,621,589 | -8,107,945 | -47,026,081 | -235,130,405 |
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