A:
Positive:
1 x 3431451177 x 4902073143 x 7980119281 x 1221157301 x 11400171967 x 1744514057 x 8458112083 x 28399
Negative:
-1 x -343145117-7 x -49020731-43 x -7980119-281 x -1221157-301 x -1140017-1967 x -174451-4057 x -84581-12083 x -28399
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 343,145,117, 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 | 343,145,117 | |
| -1 | -343,145,117 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 343,145,117.
Example:
1 x 343,145,117 = 343,145,117
and
-1 x -343,145,117 = 343,145,117
Notice both answers equal 343,145,117
With that explanation out of the way, let's continue. Next, we take the number 343,145,117 and divide it by 2:
343,145,117 ÷ 2 = 171,572,558.5
If the quotient is a whole number, then 2 and 171,572,558.5 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 | 343,145,117 | |
| -1 | -343,145,117 |
Now, we try dividing 343,145,117 by 3:
343,145,117 ÷ 3 = 114,381,705.6667
If the quotient is a whole number, then 3 and 114,381,705.6667 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 | 343,145,117 | |
| -1 | -343,145,117 |
Let's try dividing by 4:
343,145,117 ÷ 4 = 85,786,279.25
If the quotient is a whole number, then 4 and 85,786,279.25 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 | 343,145,117 | |
| -1 | 343,145,117 |
If you did it right, you will end up with this table:
| 1 | 7 | 43 | 281 | 301 | 1,967 | 4,057 | 12,083 | 28,399 | 84,581 | 174,451 | 1,140,017 | 1,221,157 | 7,980,119 | 49,020,731 | 343,145,117 |
| -1 | -7 | -43 | -281 | -301 | -1,967 | -4,057 | -12,083 | -28,399 | -84,581 | -174,451 | -1,140,017 | -1,221,157 | -7,980,119 | -49,020,731 | -343,145,117 |
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