A:
Positive:
1 x 2353553097 x 33622187103 x 2285003197 x 1194697721 x 3264291379 x 1706711657 x 14203711599 x 20291
Negative:
-1 x -235355309-7 x -33622187-103 x -2285003-197 x -1194697-721 x -326429-1379 x -170671-1657 x -142037-11599 x -20291
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 235,355,309, 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 | 235,355,309 | |
| -1 | -235,355,309 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 235,355,309.
Example:
1 x 235,355,309 = 235,355,309
and
-1 x -235,355,309 = 235,355,309
Notice both answers equal 235,355,309
With that explanation out of the way, let's continue. Next, we take the number 235,355,309 and divide it by 2:
235,355,309 ÷ 2 = 117,677,654.5
If the quotient is a whole number, then 2 and 117,677,654.5 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 | 235,355,309 | |
| -1 | -235,355,309 |
Now, we try dividing 235,355,309 by 3:
235,355,309 ÷ 3 = 78,451,769.6667
If the quotient is a whole number, then 3 and 78,451,769.6667 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 | 235,355,309 | |
| -1 | -235,355,309 |
Let's try dividing by 4:
235,355,309 ÷ 4 = 58,838,827.25
If the quotient is a whole number, then 4 and 58,838,827.25 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 | 235,355,309 | |
| -1 | 235,355,309 |
If you did it right, you will end up with this table:
| 1 | 7 | 103 | 197 | 721 | 1,379 | 1,657 | 11,599 | 20,291 | 142,037 | 170,671 | 326,429 | 1,194,697 | 2,285,003 | 33,622,187 | 235,355,309 |
| -1 | -7 | -103 | -197 | -721 | -1,379 | -1,657 | -11,599 | -20,291 | -142,037 | -170,671 | -326,429 | -1,194,697 | -2,285,003 | -33,622,187 | -235,355,309 |
Here are some more numbers to try:
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