A:
Positive:
1 x 1053412255 x 2106824511 x 957647519 x 554427525 x 421364955 x 191529595 x 1108855209 x 504025275 x 383059475 x 2217711045 x 1008055225 x 20161
Negative:
-1 x -105341225-5 x -21068245-11 x -9576475-19 x -5544275-25 x -4213649-55 x -1915295-95 x -1108855-209 x -504025-275 x -383059-475 x -221771-1045 x -100805-5225 x -20161
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 105,341,225, 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 | 105,341,225 | |
| -1 | -105,341,225 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 105,341,225.
Example:
1 x 105,341,225 = 105,341,225
and
-1 x -105,341,225 = 105,341,225
Notice both answers equal 105,341,225
With that explanation out of the way, let's continue. Next, we take the number 105,341,225 and divide it by 2:
105,341,225 ÷ 2 = 52,670,612.5
If the quotient is a whole number, then 2 and 52,670,612.5 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 | 105,341,225 | |
| -1 | -105,341,225 |
Now, we try dividing 105,341,225 by 3:
105,341,225 ÷ 3 = 35,113,741.6667
If the quotient is a whole number, then 3 and 35,113,741.6667 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 | 105,341,225 | |
| -1 | -105,341,225 |
Let's try dividing by 4:
105,341,225 ÷ 4 = 26,335,306.25
If the quotient is a whole number, then 4 and 26,335,306.25 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 | 105,341,225 | |
| -1 | 105,341,225 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 19 | 25 | 55 | 95 | 209 | 275 | 475 | 1,045 | 5,225 | 20,161 | 100,805 | 221,771 | 383,059 | 504,025 | 1,108,855 | 1,915,295 | 4,213,649 | 5,544,275 | 9,576,475 | 21,068,245 | 105,341,225 |
| -1 | -5 | -11 | -19 | -25 | -55 | -95 | -209 | -275 | -475 | -1,045 | -5,225 | -20,161 | -100,805 | -221,771 | -383,059 | -504,025 | -1,108,855 | -1,915,295 | -4,213,649 | -5,544,275 | -9,576,475 | -21,068,245 | -105,341,225 |
Here are some more numbers to try:
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