A:
Positive:
1 x 43101410313 x 3315493183 x 5192941173 x 24914111079 x 3994572249 x 1916472309 x 18666714359 x 30017
Negative:
-1 x -431014103-13 x -33154931-83 x -5192941-173 x -2491411-1079 x -399457-2249 x -191647-2309 x -186667-14359 x -30017
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 431,014,103, 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 | 431,014,103 | |
| -1 | -431,014,103 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 431,014,103.
Example:
1 x 431,014,103 = 431,014,103
and
-1 x -431,014,103 = 431,014,103
Notice both answers equal 431,014,103
With that explanation out of the way, let's continue. Next, we take the number 431,014,103 and divide it by 2:
431,014,103 ÷ 2 = 215,507,051.5
If the quotient is a whole number, then 2 and 215,507,051.5 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 | 431,014,103 | |
| -1 | -431,014,103 |
Now, we try dividing 431,014,103 by 3:
431,014,103 ÷ 3 = 143,671,367.6667
If the quotient is a whole number, then 3 and 143,671,367.6667 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 | 431,014,103 | |
| -1 | -431,014,103 |
Let's try dividing by 4:
431,014,103 ÷ 4 = 107,753,525.75
If the quotient is a whole number, then 4 and 107,753,525.75 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 | 431,014,103 | |
| -1 | 431,014,103 |
If you did it right, you will end up with this table:
| 1 | 13 | 83 | 173 | 1,079 | 2,249 | 2,309 | 14,359 | 30,017 | 186,667 | 191,647 | 399,457 | 2,491,411 | 5,192,941 | 33,154,931 | 431,014,103 |
| -1 | -13 | -83 | -173 | -1,079 | -2,249 | -2,309 | -14,359 | -30,017 | -186,667 | -191,647 | -399,457 | -2,491,411 | -5,192,941 | -33,154,931 | -431,014,103 |
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