A:
Positive:
1 x 1060024255 x 2120048519 x 557907525 x 424009741 x 258542595 x 1115815205 x 517085475 x 223163779 x 1360751025 x 1034173895 x 272155443 x 19475
Negative:
-1 x -106002425-5 x -21200485-19 x -5579075-25 x -4240097-41 x -2585425-95 x -1115815-205 x -517085-475 x -223163-779 x -136075-1025 x -103417-3895 x -27215-5443 x -19475
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 106,002,425, 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 | 106,002,425 | |
| -1 | -106,002,425 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 106,002,425.
Example:
1 x 106,002,425 = 106,002,425
and
-1 x -106,002,425 = 106,002,425
Notice both answers equal 106,002,425
With that explanation out of the way, let's continue. Next, we take the number 106,002,425 and divide it by 2:
106,002,425 ÷ 2 = 53,001,212.5
If the quotient is a whole number, then 2 and 53,001,212.5 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 | 106,002,425 | |
| -1 | -106,002,425 |
Now, we try dividing 106,002,425 by 3:
106,002,425 ÷ 3 = 35,334,141.6667
If the quotient is a whole number, then 3 and 35,334,141.6667 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 | 106,002,425 | |
| -1 | -106,002,425 |
Let's try dividing by 4:
106,002,425 ÷ 4 = 26,500,606.25
If the quotient is a whole number, then 4 and 26,500,606.25 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 | 106,002,425 | |
| -1 | 106,002,425 |
If you did it right, you will end up with this table:
| 1 | 5 | 19 | 25 | 41 | 95 | 205 | 475 | 779 | 1,025 | 3,895 | 5,443 | 19,475 | 27,215 | 103,417 | 136,075 | 223,163 | 517,085 | 1,115,815 | 2,585,425 | 4,240,097 | 5,579,075 | 21,200,485 | 106,002,425 |
| -1 | -5 | -19 | -25 | -41 | -95 | -205 | -475 | -779 | -1,025 | -3,895 | -5,443 | -19,475 | -27,215 | -103,417 | -136,075 | -223,163 | -517,085 | -1,115,815 | -2,585,425 | -4,240,097 | -5,579,075 | -21,200,485 | -106,002,425 |
Here are some more numbers to try:
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