A:
Positive:
1 x 34233301311 x 3112118319 x 18017527149 x 2297537209 x 16379571639 x 2088672831 x 12092310993 x 31141
Negative:
-1 x -342333013-11 x -31121183-19 x -18017527-149 x -2297537-209 x -1637957-1639 x -208867-2831 x -120923-10993 x -31141
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 342,333,013, 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 | 342,333,013 | |
| -1 | -342,333,013 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 342,333,013.
Example:
1 x 342,333,013 = 342,333,013
and
-1 x -342,333,013 = 342,333,013
Notice both answers equal 342,333,013
With that explanation out of the way, let's continue. Next, we take the number 342,333,013 and divide it by 2:
342,333,013 ÷ 2 = 171,166,506.5
If the quotient is a whole number, then 2 and 171,166,506.5 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 | 342,333,013 | |
| -1 | -342,333,013 |
Now, we try dividing 342,333,013 by 3:
342,333,013 ÷ 3 = 114,111,004.3333
If the quotient is a whole number, then 3 and 114,111,004.3333 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 | 342,333,013 | |
| -1 | -342,333,013 |
Let's try dividing by 4:
342,333,013 ÷ 4 = 85,583,253.25
If the quotient is a whole number, then 4 and 85,583,253.25 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 | 342,333,013 | |
| -1 | 342,333,013 |
If you did it right, you will end up with this table:
| 1 | 11 | 19 | 149 | 209 | 1,639 | 2,831 | 10,993 | 31,141 | 120,923 | 208,867 | 1,637,957 | 2,297,537 | 18,017,527 | 31,121,183 | 342,333,013 |
| -1 | -11 | -19 | -149 | -209 | -1,639 | -2,831 | -10,993 | -31,141 | -120,923 | -208,867 | -1,637,957 | -2,297,537 | -18,017,527 | -31,121,183 | -342,333,013 |
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