A:
Positive:
1 x 34413102113 x 2647161719 x 1811215943 x 8003047247 x 1393243559 x 615619817 x 42121310621 x 32401
Negative:
-1 x -344131021-13 x -26471617-19 x -18112159-43 x -8003047-247 x -1393243-559 x -615619-817 x -421213-10621 x -32401
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 344,131,021, 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 | 344,131,021 | |
| -1 | -344,131,021 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 344,131,021.
Example:
1 x 344,131,021 = 344,131,021
and
-1 x -344,131,021 = 344,131,021
Notice both answers equal 344,131,021
With that explanation out of the way, let's continue. Next, we take the number 344,131,021 and divide it by 2:
344,131,021 ÷ 2 = 172,065,510.5
If the quotient is a whole number, then 2 and 172,065,510.5 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 | 344,131,021 | |
| -1 | -344,131,021 |
Now, we try dividing 344,131,021 by 3:
344,131,021 ÷ 3 = 114,710,340.3333
If the quotient is a whole number, then 3 and 114,710,340.3333 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 | 344,131,021 | |
| -1 | -344,131,021 |
Let's try dividing by 4:
344,131,021 ÷ 4 = 86,032,755.25
If the quotient is a whole number, then 4 and 86,032,755.25 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 | 344,131,021 | |
| -1 | 344,131,021 |
If you did it right, you will end up with this table:
| 1 | 13 | 19 | 43 | 247 | 559 | 817 | 10,621 | 32,401 | 421,213 | 615,619 | 1,393,243 | 8,003,047 | 18,112,159 | 26,471,617 | 344,131,021 |
| -1 | -13 | -19 | -43 | -247 | -559 | -817 | -10,621 | -32,401 | -421,213 | -615,619 | -1,393,243 | -8,003,047 | -18,112,159 | -26,471,617 | -344,131,021 |
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