A:
Positive:
1 x 34402029753 x 649094961 x 563967797 x 35466011097 x 3136013233 x 1064095141 x 669175917 x 58141
Negative:
-1 x -344020297-53 x -6490949-61 x -5639677-97 x -3546601-1097 x -313601-3233 x -106409-5141 x -66917-5917 x -58141
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 344,020,297, 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 | 344,020,297 | |
| -1 | -344,020,297 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 344,020,297.
Example:
1 x 344,020,297 = 344,020,297
and
-1 x -344,020,297 = 344,020,297
Notice both answers equal 344,020,297
With that explanation out of the way, let's continue. Next, we take the number 344,020,297 and divide it by 2:
344,020,297 ÷ 2 = 172,010,148.5
If the quotient is a whole number, then 2 and 172,010,148.5 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 | 344,020,297 | |
| -1 | -344,020,297 |
Now, we try dividing 344,020,297 by 3:
344,020,297 ÷ 3 = 114,673,432.3333
If the quotient is a whole number, then 3 and 114,673,432.3333 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 | 344,020,297 | |
| -1 | -344,020,297 |
Let's try dividing by 4:
344,020,297 ÷ 4 = 86,005,074.25
If the quotient is a whole number, then 4 and 86,005,074.25 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 | 344,020,297 | |
| -1 | 344,020,297 |
If you did it right, you will end up with this table:
| 1 | 53 | 61 | 97 | 1,097 | 3,233 | 5,141 | 5,917 | 58,141 | 66,917 | 106,409 | 313,601 | 3,546,601 | 5,639,677 | 6,490,949 | 344,020,297 |
| -1 | -53 | -61 | -97 | -1,097 | -3,233 | -5,141 | -5,917 | -58,141 | -66,917 | -106,409 | -313,601 | -3,546,601 | -5,639,677 | -6,490,949 | -344,020,297 |
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