A:
Positive:
1 x 43014003119 x 2263894959 x 7290509353 x 12185271087 x 3957131121 x 3837116707 x 6413320653 x 20827
Negative:
-1 x -430140031-19 x -22638949-59 x -7290509-353 x -1218527-1087 x -395713-1121 x -383711-6707 x -64133-20653 x -20827
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 430,140,031, 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 | 430,140,031 | |
| -1 | -430,140,031 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 430,140,031.
Example:
1 x 430,140,031 = 430,140,031
and
-1 x -430,140,031 = 430,140,031
Notice both answers equal 430,140,031
With that explanation out of the way, let's continue. Next, we take the number 430,140,031 and divide it by 2:
430,140,031 ÷ 2 = 215,070,015.5
If the quotient is a whole number, then 2 and 215,070,015.5 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 | 430,140,031 | |
| -1 | -430,140,031 |
Now, we try dividing 430,140,031 by 3:
430,140,031 ÷ 3 = 143,380,010.3333
If the quotient is a whole number, then 3 and 143,380,010.3333 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 | 430,140,031 | |
| -1 | -430,140,031 |
Let's try dividing by 4:
430,140,031 ÷ 4 = 107,535,007.75
If the quotient is a whole number, then 4 and 107,535,007.75 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 | 430,140,031 | |
| -1 | 430,140,031 |
If you did it right, you will end up with this table:
| 1 | 19 | 59 | 353 | 1,087 | 1,121 | 6,707 | 20,653 | 20,827 | 64,133 | 383,711 | 395,713 | 1,218,527 | 7,290,509 | 22,638,949 | 430,140,031 |
| -1 | -19 | -59 | -353 | -1,087 | -1,121 | -6,707 | -20,653 | -20,827 | -64,133 | -383,711 | -395,713 | -1,218,527 | -7,290,509 | -22,638,949 | -430,140,031 |
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