A:
Positive:
1 x 3610312097 x 5157588711 x 3282101973 x 494563377 x 4688717121 x 2983729511 x 706519803 x 449603847 x 4262475621 x 642295839 x 618318833 x 40873
Negative:
-1 x -361031209-7 x -51575887-11 x -32821019-73 x -4945633-77 x -4688717-121 x -2983729-511 x -706519-803 x -449603-847 x -426247-5621 x -64229-5839 x -61831-8833 x -40873
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 361,031,209, 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 | 361,031,209 | |
| -1 | -361,031,209 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 361,031,209.
Example:
1 x 361,031,209 = 361,031,209
and
-1 x -361,031,209 = 361,031,209
Notice both answers equal 361,031,209
With that explanation out of the way, let's continue. Next, we take the number 361,031,209 and divide it by 2:
361,031,209 ÷ 2 = 180,515,604.5
If the quotient is a whole number, then 2 and 180,515,604.5 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 | 361,031,209 | |
| -1 | -361,031,209 |
Now, we try dividing 361,031,209 by 3:
361,031,209 ÷ 3 = 120,343,736.3333
If the quotient is a whole number, then 3 and 120,343,736.3333 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 | 361,031,209 | |
| -1 | -361,031,209 |
Let's try dividing by 4:
361,031,209 ÷ 4 = 90,257,802.25
If the quotient is a whole number, then 4 and 90,257,802.25 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 | 361,031,209 | |
| -1 | 361,031,209 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 73 | 77 | 121 | 511 | 803 | 847 | 5,621 | 5,839 | 8,833 | 40,873 | 61,831 | 64,229 | 426,247 | 449,603 | 706,519 | 2,983,729 | 4,688,717 | 4,945,633 | 32,821,019 | 51,575,887 | 361,031,209 |
| -1 | -7 | -11 | -73 | -77 | -121 | -511 | -803 | -847 | -5,621 | -5,839 | -8,833 | -40,873 | -61,831 | -64,229 | -426,247 | -449,603 | -706,519 | -2,983,729 | -4,688,717 | -4,945,633 | -32,821,019 | -51,575,887 | -361,031,209 |
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