A:
Positive:
1 x 35512634311 x 3228421313 x 27317411113 x 3142711143 x 24834011243 x 2857011469 x 24174716159 x 21977
Negative:
-1 x -355126343-11 x -32284213-13 x -27317411-113 x -3142711-143 x -2483401-1243 x -285701-1469 x -241747-16159 x -21977
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 355,126,343, 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 | 355,126,343 | |
| -1 | -355,126,343 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 355,126,343.
Example:
1 x 355,126,343 = 355,126,343
and
-1 x -355,126,343 = 355,126,343
Notice both answers equal 355,126,343
With that explanation out of the way, let's continue. Next, we take the number 355,126,343 and divide it by 2:
355,126,343 ÷ 2 = 177,563,171.5
If the quotient is a whole number, then 2 and 177,563,171.5 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 | 355,126,343 | |
| -1 | -355,126,343 |
Now, we try dividing 355,126,343 by 3:
355,126,343 ÷ 3 = 118,375,447.6667
If the quotient is a whole number, then 3 and 118,375,447.6667 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 | 355,126,343 | |
| -1 | -355,126,343 |
Let's try dividing by 4:
355,126,343 ÷ 4 = 88,781,585.75
If the quotient is a whole number, then 4 and 88,781,585.75 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 | 355,126,343 | |
| -1 | 355,126,343 |
If you did it right, you will end up with this table:
| 1 | 11 | 13 | 113 | 143 | 1,243 | 1,469 | 16,159 | 21,977 | 241,747 | 285,701 | 2,483,401 | 3,142,711 | 27,317,411 | 32,284,213 | 355,126,343 |
| -1 | -11 | -13 | -113 | -143 | -1,243 | -1,469 | -16,159 | -21,977 | -241,747 | -285,701 | -2,483,401 | -3,142,711 | -27,317,411 | -32,284,213 | -355,126,343 |
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