A:
Positive:
1 x 3440601055 x 6881202123 x 14959135107 x 3215515115 x 2991827535 x 6431032461 x 13980512305 x 27961
Negative:
-1 x -344060105-5 x -68812021-23 x -14959135-107 x -3215515-115 x -2991827-535 x -643103-2461 x -139805-12305 x -27961
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 344,060,105, 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 | 344,060,105 | |
| -1 | -344,060,105 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 344,060,105.
Example:
1 x 344,060,105 = 344,060,105
and
-1 x -344,060,105 = 344,060,105
Notice both answers equal 344,060,105
With that explanation out of the way, let's continue. Next, we take the number 344,060,105 and divide it by 2:
344,060,105 ÷ 2 = 172,030,052.5
If the quotient is a whole number, then 2 and 172,030,052.5 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 | 344,060,105 | |
| -1 | -344,060,105 |
Now, we try dividing 344,060,105 by 3:
344,060,105 ÷ 3 = 114,686,701.6667
If the quotient is a whole number, then 3 and 114,686,701.6667 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 | 344,060,105 | |
| -1 | -344,060,105 |
Let's try dividing by 4:
344,060,105 ÷ 4 = 86,015,026.25
If the quotient is a whole number, then 4 and 86,015,026.25 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 | 344,060,105 | |
| -1 | 344,060,105 |
If you did it right, you will end up with this table:
| 1 | 5 | 23 | 107 | 115 | 535 | 2,461 | 12,305 | 27,961 | 139,805 | 643,103 | 2,991,827 | 3,215,515 | 14,959,135 | 68,812,021 | 344,060,105 |
| -1 | -5 | -23 | -107 | -115 | -535 | -2,461 | -12,305 | -27,961 | -139,805 | -643,103 | -2,991,827 | -3,215,515 | -14,959,135 | -68,812,021 | -344,060,105 |
Here are some more numbers to try:
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