A:
Positive:
1 x 314380755 x 628761525 x 125752367 x 469225137 x 229475335 x 93845685 x 458951675 x 187693425 x 9179
Negative:
-1 x -31438075-5 x -6287615-25 x -1257523-67 x -469225-137 x -229475-335 x -93845-685 x -45895-1675 x -18769-3425 x -9179
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 31,438,075, 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 | 31,438,075 | |
| -1 | -31,438,075 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 31,438,075.
Example:
1 x 31,438,075 = 31,438,075
and
-1 x -31,438,075 = 31,438,075
Notice both answers equal 31,438,075
With that explanation out of the way, let's continue. Next, we take the number 31,438,075 and divide it by 2:
31,438,075 ÷ 2 = 15,719,037.5
If the quotient is a whole number, then 2 and 15,719,037.5 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 | 31,438,075 | |
| -1 | -31,438,075 |
Now, we try dividing 31,438,075 by 3:
31,438,075 ÷ 3 = 10,479,358.3333
If the quotient is a whole number, then 3 and 10,479,358.3333 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 | 31,438,075 | |
| -1 | -31,438,075 |
Let's try dividing by 4:
31,438,075 ÷ 4 = 7,859,518.75
If the quotient is a whole number, then 4 and 7,859,518.75 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 | 31,438,075 | |
| -1 | 31,438,075 |
If you did it right, you will end up with this table:
| 1 | 5 | 25 | 67 | 137 | 335 | 685 | 1,675 | 3,425 | 9,179 | 18,769 | 45,895 | 93,845 | 229,475 | 469,225 | 1,257,523 | 6,287,615 | 31,438,075 |
| -1 | -5 | -25 | -67 | -137 | -335 | -685 | -1,675 | -3,425 | -9,179 | -18,769 | -45,895 | -93,845 | -229,475 | -469,225 | -1,257,523 | -6,287,615 | -31,438,075 |
Here are some more numbers to try:
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