A:
Positive:
1 x 123002055 x 246004129 x 42414541 x 300005145 x 84829205 x 600011189 x 103452069 x 5945
Negative:
-1 x -12300205-5 x -2460041-29 x -424145-41 x -300005-145 x -84829-205 x -60001-1189 x -10345-2069 x -5945
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 12,300,205, 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 | 12,300,205 | |
| -1 | -12,300,205 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 12,300,205.
Example:
1 x 12,300,205 = 12,300,205
and
-1 x -12,300,205 = 12,300,205
Notice both answers equal 12,300,205
With that explanation out of the way, let's continue. Next, we take the number 12,300,205 and divide it by 2:
12,300,205 ÷ 2 = 6,150,102.5
If the quotient is a whole number, then 2 and 6,150,102.5 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 | 12,300,205 | |
| -1 | -12,300,205 |
Now, we try dividing 12,300,205 by 3:
12,300,205 ÷ 3 = 4,100,068.3333
If the quotient is a whole number, then 3 and 4,100,068.3333 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 | 12,300,205 | |
| -1 | -12,300,205 |
Let's try dividing by 4:
12,300,205 ÷ 4 = 3,075,051.25
If the quotient is a whole number, then 4 and 3,075,051.25 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 | 12,300,205 | |
| -1 | 12,300,205 |
If you did it right, you will end up with this table:
| 1 | 5 | 29 | 41 | 145 | 205 | 1,189 | 2,069 | 5,945 | 10,345 | 60,001 | 84,829 | 300,005 | 424,145 | 2,460,041 | 12,300,205 |
| -1 | -5 | -29 | -41 | -145 | -205 | -1,189 | -2,069 | -5,945 | -10,345 | -60,001 | -84,829 | -300,005 | -424,145 | -2,460,041 | -12,300,205 |
Here are some more numbers to try:
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