A:
Positive:
1 x 314236755 x 628473525 x 125694729 x 108357589 x 353075145 x 216715445 x 70615487 x 64525725 x 433432225 x 141232435 x 129052581 x 12175
Negative:
-1 x -31423675-5 x -6284735-25 x -1256947-29 x -1083575-89 x -353075-145 x -216715-445 x -70615-487 x -64525-725 x -43343-2225 x -14123-2435 x -12905-2581 x -12175
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 31,423,675, 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 | 31,423,675 | |
| -1 | -31,423,675 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 31,423,675.
Example:
1 x 31,423,675 = 31,423,675
and
-1 x -31,423,675 = 31,423,675
Notice both answers equal 31,423,675
With that explanation out of the way, let's continue. Next, we take the number 31,423,675 and divide it by 2:
31,423,675 ÷ 2 = 15,711,837.5
If the quotient is a whole number, then 2 and 15,711,837.5 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 | 31,423,675 | |
| -1 | -31,423,675 |
Now, we try dividing 31,423,675 by 3:
31,423,675 ÷ 3 = 10,474,558.3333
If the quotient is a whole number, then 3 and 10,474,558.3333 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 | 31,423,675 | |
| -1 | -31,423,675 |
Let's try dividing by 4:
31,423,675 ÷ 4 = 7,855,918.75
If the quotient is a whole number, then 4 and 7,855,918.75 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 | 31,423,675 | |
| -1 | 31,423,675 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 29 | 89 | 145 | 445 | 487 | 725 | 2,225 | 2,435 | 2,581 | 12,175 | 12,905 | 14,123 | 43,343 | 64,525 | 70,615 | 216,715 | 353,075 | 1,083,575 | 1,256,947 | 6,284,735 | 31,423,675 |
| -1 | -5 | -25 | -29 | -89 | -145 | -445 | -487 | -725 | -2,225 | -2,435 | -2,581 | -12,175 | -12,905 | -14,123 | -43,343 | -64,525 | -70,615 | -216,715 | -353,075 | -1,083,575 | -1,256,947 | -6,284,735 | -31,423,675 |
Here are some more numbers to try:
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