A:
Positive:
1 x 3174717 x 4535311 x 2886119 x 1670931 x 1024149 x 647977 x 4123133 x 2387209 x 1519217 x 1463341 x 931539 x 589
Negative:
-1 x -317471-7 x -45353-11 x -28861-19 x -16709-31 x -10241-49 x -6479-77 x -4123-133 x -2387-209 x -1519-217 x -1463-341 x -931-539 x -589
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 317,471, 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 | 317,471 | |
| -1 | -317,471 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 317,471.
Example:
1 x 317,471 = 317,471
and
-1 x -317,471 = 317,471
Notice both answers equal 317,471
With that explanation out of the way, let's continue. Next, we take the number 317,471 and divide it by 2:
317,471 ÷ 2 = 158,735.5
If the quotient is a whole number, then 2 and 158,735.5 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 | 317,471 | |
| -1 | -317,471 |
Now, we try dividing 317,471 by 3:
317,471 ÷ 3 = 105,823.6667
If the quotient is a whole number, then 3 and 105,823.6667 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 | 317,471 | |
| -1 | -317,471 |
Let's try dividing by 4:
317,471 ÷ 4 = 79,367.75
If the quotient is a whole number, then 4 and 79,367.75 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 | 317,471 | |
| -1 | 317,471 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 19 | 31 | 49 | 77 | 133 | 209 | 217 | 341 | 539 | 589 | 931 | 1,463 | 1,519 | 2,387 | 4,123 | 6,479 | 10,241 | 16,709 | 28,861 | 45,353 | 317,471 |
| -1 | -7 | -11 | -19 | -31 | -49 | -77 | -133 | -209 | -217 | -341 | -539 | -589 | -931 | -1,463 | -1,519 | -2,387 | -4,123 | -6,479 | -10,241 | -16,709 | -28,861 | -45,353 | -317,471 |
Here are some more numbers to try:
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