A:
Positive:
1 x 1060144155 x 2120288313 x 815495565 x 1630991181 x 585715905 x 1171432353 x 450559011 x 11765
Negative:
-1 x -106014415-5 x -21202883-13 x -8154955-65 x -1630991-181 x -585715-905 x -117143-2353 x -45055-9011 x -11765
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 106,014,415, 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 | 106,014,415 | |
| -1 | -106,014,415 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 106,014,415.
Example:
1 x 106,014,415 = 106,014,415
and
-1 x -106,014,415 = 106,014,415
Notice both answers equal 106,014,415
With that explanation out of the way, let's continue. Next, we take the number 106,014,415 and divide it by 2:
106,014,415 ÷ 2 = 53,007,207.5
If the quotient is a whole number, then 2 and 53,007,207.5 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 | 106,014,415 | |
| -1 | -106,014,415 |
Now, we try dividing 106,014,415 by 3:
106,014,415 ÷ 3 = 35,338,138.3333
If the quotient is a whole number, then 3 and 35,338,138.3333 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 | 106,014,415 | |
| -1 | -106,014,415 |
Let's try dividing by 4:
106,014,415 ÷ 4 = 26,503,603.75
If the quotient is a whole number, then 4 and 26,503,603.75 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 | 106,014,415 | |
| -1 | 106,014,415 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 65 | 181 | 905 | 2,353 | 9,011 | 11,765 | 45,055 | 117,143 | 585,715 | 1,630,991 | 8,154,955 | 21,202,883 | 106,014,415 |
| -1 | -5 | -13 | -65 | -181 | -905 | -2,353 | -9,011 | -11,765 | -45,055 | -117,143 | -585,715 | -1,630,991 | -8,154,955 | -21,202,883 | -106,014,415 |
Here are some more numbers to try:
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