A:
Positive:
1 x 2352325577 x 3360465131 x 7588147217 x 1084021443 x 5309992447 x 961313101 x 7585713733 x 17129
Negative:
-1 x -235232557-7 x -33604651-31 x -7588147-217 x -1084021-443 x -530999-2447 x -96131-3101 x -75857-13733 x -17129
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 235,232,557, 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 | 235,232,557 | |
| -1 | -235,232,557 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 235,232,557.
Example:
1 x 235,232,557 = 235,232,557
and
-1 x -235,232,557 = 235,232,557
Notice both answers equal 235,232,557
With that explanation out of the way, let's continue. Next, we take the number 235,232,557 and divide it by 2:
235,232,557 ÷ 2 = 117,616,278.5
If the quotient is a whole number, then 2 and 117,616,278.5 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 | 235,232,557 | |
| -1 | -235,232,557 |
Now, we try dividing 235,232,557 by 3:
235,232,557 ÷ 3 = 78,410,852.3333
If the quotient is a whole number, then 3 and 78,410,852.3333 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 | 235,232,557 | |
| -1 | -235,232,557 |
Let's try dividing by 4:
235,232,557 ÷ 4 = 58,808,139.25
If the quotient is a whole number, then 4 and 58,808,139.25 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 | 235,232,557 | |
| -1 | 235,232,557 |
If you did it right, you will end up with this table:
| 1 | 7 | 31 | 217 | 443 | 2,447 | 3,101 | 13,733 | 17,129 | 75,857 | 96,131 | 530,999 | 1,084,021 | 7,588,147 | 33,604,651 | 235,232,557 |
| -1 | -7 | -31 | -217 | -443 | -2,447 | -3,101 | -13,733 | -17,129 | -75,857 | -96,131 | -530,999 | -1,084,021 | -7,588,147 | -33,604,651 | -235,232,557 |
Here are some more numbers to try:
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