A:
Positive:
1 x 34432251113 x 26486347103 x 3342937137 x 25133031339 x 2571491781 x 1933311877 x 18344314111 x 24401
Negative:
-1 x -344322511-13 x -26486347-103 x -3342937-137 x -2513303-1339 x -257149-1781 x -193331-1877 x -183443-14111 x -24401
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 344,322,511, 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 | 344,322,511 | |
| -1 | -344,322,511 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 344,322,511.
Example:
1 x 344,322,511 = 344,322,511
and
-1 x -344,322,511 = 344,322,511
Notice both answers equal 344,322,511
With that explanation out of the way, let's continue. Next, we take the number 344,322,511 and divide it by 2:
344,322,511 ÷ 2 = 172,161,255.5
If the quotient is a whole number, then 2 and 172,161,255.5 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 | 344,322,511 | |
| -1 | -344,322,511 |
Now, we try dividing 344,322,511 by 3:
344,322,511 ÷ 3 = 114,774,170.3333
If the quotient is a whole number, then 3 and 114,774,170.3333 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 | 344,322,511 | |
| -1 | -344,322,511 |
Let's try dividing by 4:
344,322,511 ÷ 4 = 86,080,627.75
If the quotient is a whole number, then 4 and 86,080,627.75 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 | 344,322,511 | |
| -1 | 344,322,511 |
If you did it right, you will end up with this table:
| 1 | 13 | 103 | 137 | 1,339 | 1,781 | 1,877 | 14,111 | 24,401 | 183,443 | 193,331 | 257,149 | 2,513,303 | 3,342,937 | 26,486,347 | 344,322,511 |
| -1 | -13 | -103 | -137 | -1,339 | -1,781 | -1,877 | -14,111 | -24,401 | -183,443 | -193,331 | -257,149 | -2,513,303 | -3,342,937 | -26,486,347 | -344,322,511 |
Here are some more numbers to try:
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