A:
Positive:
1 x 316294097 x 451848741 x 771449191 x 165599287 x 110207577 x 548171337 x 236574039 x 7831
Negative:
-1 x -31629409-7 x -4518487-41 x -771449-191 x -165599-287 x -110207-577 x -54817-1337 x -23657-4039 x -7831
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 31,629,409, 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 | 31,629,409 | |
| -1 | -31,629,409 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 31,629,409.
Example:
1 x 31,629,409 = 31,629,409
and
-1 x -31,629,409 = 31,629,409
Notice both answers equal 31,629,409
With that explanation out of the way, let's continue. Next, we take the number 31,629,409 and divide it by 2:
31,629,409 ÷ 2 = 15,814,704.5
If the quotient is a whole number, then 2 and 15,814,704.5 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 | 31,629,409 | |
| -1 | -31,629,409 |
Now, we try dividing 31,629,409 by 3:
31,629,409 ÷ 3 = 10,543,136.3333
If the quotient is a whole number, then 3 and 10,543,136.3333 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 | 31,629,409 | |
| -1 | -31,629,409 |
Let's try dividing by 4:
31,629,409 ÷ 4 = 7,907,352.25
If the quotient is a whole number, then 4 and 7,907,352.25 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 | 31,629,409 | |
| -1 | 31,629,409 |
If you did it right, you will end up with this table:
| 1 | 7 | 41 | 191 | 287 | 577 | 1,337 | 4,039 | 7,831 | 23,657 | 54,817 | 110,207 | 165,599 | 771,449 | 4,518,487 | 31,629,409 |
| -1 | -7 | -41 | -191 | -287 | -577 | -1,337 | -4,039 | -7,831 | -23,657 | -54,817 | -110,207 | -165,599 | -771,449 | -4,518,487 | -31,629,409 |
Here are some more numbers to try:
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