A:
Positive:
1 x 1202014155 x 2404028331 x 387746561 x 1970515155 x 775493305 x 3941031891 x 635659455 x 12713
Negative:
-1 x -120201415-5 x -24040283-31 x -3877465-61 x -1970515-155 x -775493-305 x -394103-1891 x -63565-9455 x -12713
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 120,201,415, 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 | 120,201,415 | |
| -1 | -120,201,415 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 120,201,415.
Example:
1 x 120,201,415 = 120,201,415
and
-1 x -120,201,415 = 120,201,415
Notice both answers equal 120,201,415
With that explanation out of the way, let's continue. Next, we take the number 120,201,415 and divide it by 2:
120,201,415 ÷ 2 = 60,100,707.5
If the quotient is a whole number, then 2 and 60,100,707.5 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 | 120,201,415 | |
| -1 | -120,201,415 |
Now, we try dividing 120,201,415 by 3:
120,201,415 ÷ 3 = 40,067,138.3333
If the quotient is a whole number, then 3 and 40,067,138.3333 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 | 120,201,415 | |
| -1 | -120,201,415 |
Let's try dividing by 4:
120,201,415 ÷ 4 = 30,050,353.75
If the quotient is a whole number, then 4 and 30,050,353.75 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 | 120,201,415 | |
| -1 | 120,201,415 |
If you did it right, you will end up with this table:
| 1 | 5 | 31 | 61 | 155 | 305 | 1,891 | 9,455 | 12,713 | 63,565 | 394,103 | 775,493 | 1,970,515 | 3,877,465 | 24,040,283 | 120,201,415 |
| -1 | -5 | -31 | -61 | -155 | -305 | -1,891 | -9,455 | -12,713 | -63,565 | -394,103 | -775,493 | -1,970,515 | -3,877,465 | -24,040,283 | -120,201,415 |
Here are some more numbers to try:
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