A:
Positive:
1 x 151004155 x 302008311 x 137276555 x 27455373 x 206855365 x 41371803 x 188053761 x 4015
Negative:
-1 x -15100415-5 x -3020083-11 x -1372765-55 x -274553-73 x -206855-365 x -41371-803 x -18805-3761 x -4015
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 15,100,415, 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 | 15,100,415 | |
| -1 | -15,100,415 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 15,100,415.
Example:
1 x 15,100,415 = 15,100,415
and
-1 x -15,100,415 = 15,100,415
Notice both answers equal 15,100,415
With that explanation out of the way, let's continue. Next, we take the number 15,100,415 and divide it by 2:
15,100,415 ÷ 2 = 7,550,207.5
If the quotient is a whole number, then 2 and 7,550,207.5 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 | 15,100,415 | |
| -1 | -15,100,415 |
Now, we try dividing 15,100,415 by 3:
15,100,415 ÷ 3 = 5,033,471.6667
If the quotient is a whole number, then 3 and 5,033,471.6667 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 | 15,100,415 | |
| -1 | -15,100,415 |
Let's try dividing by 4:
15,100,415 ÷ 4 = 3,775,103.75
If the quotient is a whole number, then 4 and 3,775,103.75 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 | 15,100,415 | |
| -1 | 15,100,415 |
If you did it right, you will end up with this table:
| 1 | 5 | 11 | 55 | 73 | 365 | 803 | 3,761 | 4,015 | 18,805 | 41,371 | 206,855 | 274,553 | 1,372,765 | 3,020,083 | 15,100,415 |
| -1 | -5 | -11 | -55 | -73 | -365 | -803 | -3,761 | -4,015 | -18,805 | -41,371 | -206,855 | -274,553 | -1,372,765 | -3,020,083 | -15,100,415 |
Here are some more numbers to try:
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