A:
Positive:
1 x 1050664155 x 2101328323 x 456810543 x 2443405115 x 913621215 x 488681989 x 1062354945 x 21247
Negative:
-1 x -105066415-5 x -21013283-23 x -4568105-43 x -2443405-115 x -913621-215 x -488681-989 x -106235-4945 x -21247
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 105,066,415, 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 | 105,066,415 | |
| -1 | -105,066,415 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 105,066,415.
Example:
1 x 105,066,415 = 105,066,415
and
-1 x -105,066,415 = 105,066,415
Notice both answers equal 105,066,415
With that explanation out of the way, let's continue. Next, we take the number 105,066,415 and divide it by 2:
105,066,415 ÷ 2 = 52,533,207.5
If the quotient is a whole number, then 2 and 52,533,207.5 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 | 105,066,415 | |
| -1 | -105,066,415 |
Now, we try dividing 105,066,415 by 3:
105,066,415 ÷ 3 = 35,022,138.3333
If the quotient is a whole number, then 3 and 35,022,138.3333 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 | 105,066,415 | |
| -1 | -105,066,415 |
Let's try dividing by 4:
105,066,415 ÷ 4 = 26,266,603.75
If the quotient is a whole number, then 4 and 26,266,603.75 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 | 105,066,415 | |
| -1 | 105,066,415 |
If you did it right, you will end up with this table:
| 1 | 5 | 23 | 43 | 115 | 215 | 989 | 4,945 | 21,247 | 106,235 | 488,681 | 913,621 | 2,443,405 | 4,568,105 | 21,013,283 | 105,066,415 |
| -1 | -5 | -23 | -43 | -115 | -215 | -989 | -4,945 | -21,247 | -106,235 | -488,681 | -913,621 | -2,443,405 | -4,568,105 | -21,013,283 | -105,066,415 |
Here are some more numbers to try:
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