A:
Positive:
1 x 316195255 x 63239057 x 451707525 x 126478135 x 903415175 x 180683281 x 112525643 x 491751405 x 225051967 x 160753215 x 98354501 x 7025
Negative:
-1 x -31619525-5 x -6323905-7 x -4517075-25 x -1264781-35 x -903415-175 x -180683-281 x -112525-643 x -49175-1405 x -22505-1967 x -16075-3215 x -9835-4501 x -7025
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 31,619,525, 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 | 31,619,525 | |
| -1 | -31,619,525 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 31,619,525.
Example:
1 x 31,619,525 = 31,619,525
and
-1 x -31,619,525 = 31,619,525
Notice both answers equal 31,619,525
With that explanation out of the way, let's continue. Next, we take the number 31,619,525 and divide it by 2:
31,619,525 ÷ 2 = 15,809,762.5
If the quotient is a whole number, then 2 and 15,809,762.5 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 | 31,619,525 | |
| -1 | -31,619,525 |
Now, we try dividing 31,619,525 by 3:
31,619,525 ÷ 3 = 10,539,841.6667
If the quotient is a whole number, then 3 and 10,539,841.6667 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 | 31,619,525 | |
| -1 | -31,619,525 |
Let's try dividing by 4:
31,619,525 ÷ 4 = 7,904,881.25
If the quotient is a whole number, then 4 and 7,904,881.25 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 | 31,619,525 | |
| -1 | 31,619,525 |
If you did it right, you will end up with this table:
| 1 | 5 | 7 | 25 | 35 | 175 | 281 | 643 | 1,405 | 1,967 | 3,215 | 4,501 | 7,025 | 9,835 | 16,075 | 22,505 | 49,175 | 112,525 | 180,683 | 903,415 | 1,264,781 | 4,517,075 | 6,323,905 | 31,619,525 |
| -1 | -5 | -7 | -25 | -35 | -175 | -281 | -643 | -1,405 | -1,967 | -3,215 | -4,501 | -7,025 | -9,835 | -16,075 | -22,505 | -49,175 | -112,525 | -180,683 | -903,415 | -1,264,781 | -4,517,075 | -6,323,905 | -31,619,525 |
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