A:
Positive:
1 x 102045055 x 204090117 x 60026585 x 120053271 x 37655443 x 230351355 x 75312215 x 4607
Negative:
-1 x -10204505-5 x -2040901-17 x -600265-85 x -120053-271 x -37655-443 x -23035-1355 x -7531-2215 x -4607
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 10,204,505, 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 | 10,204,505 | |
| -1 | -10,204,505 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 10,204,505.
Example:
1 x 10,204,505 = 10,204,505
and
-1 x -10,204,505 = 10,204,505
Notice both answers equal 10,204,505
With that explanation out of the way, let's continue. Next, we take the number 10,204,505 and divide it by 2:
10,204,505 ÷ 2 = 5,102,252.5
If the quotient is a whole number, then 2 and 5,102,252.5 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 | 10,204,505 | |
| -1 | -10,204,505 |
Now, we try dividing 10,204,505 by 3:
10,204,505 ÷ 3 = 3,401,501.6667
If the quotient is a whole number, then 3 and 3,401,501.6667 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 | 10,204,505 | |
| -1 | -10,204,505 |
Let's try dividing by 4:
10,204,505 ÷ 4 = 2,551,126.25
If the quotient is a whole number, then 4 and 2,551,126.25 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 | 10,204,505 | |
| -1 | 10,204,505 |
If you did it right, you will end up with this table:
| 1 | 5 | 17 | 85 | 271 | 443 | 1,355 | 2,215 | 4,607 | 7,531 | 23,035 | 37,655 | 120,053 | 600,265 | 2,040,901 | 10,204,505 |
| -1 | -5 | -17 | -85 | -271 | -443 | -1,355 | -2,215 | -4,607 | -7,531 | -23,035 | -37,655 | -120,053 | -600,265 | -2,040,901 | -10,204,505 |
Here are some more numbers to try:
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