A:
Positive:
1 x 1201412177 x 17163031101 x 1189517109 x 1102213707 x 169931763 x 1574591559 x 7706310913 x 11009
Negative:
-1 x -120141217-7 x -17163031-101 x -1189517-109 x -1102213-707 x -169931-763 x -157459-1559 x -77063-10913 x -11009
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 120,141,217, 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 | 120,141,217 | |
| -1 | -120,141,217 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 120,141,217.
Example:
1 x 120,141,217 = 120,141,217
and
-1 x -120,141,217 = 120,141,217
Notice both answers equal 120,141,217
With that explanation out of the way, let's continue. Next, we take the number 120,141,217 and divide it by 2:
120,141,217 ÷ 2 = 60,070,608.5
If the quotient is a whole number, then 2 and 60,070,608.5 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 | 120,141,217 | |
| -1 | -120,141,217 |
Now, we try dividing 120,141,217 by 3:
120,141,217 ÷ 3 = 40,047,072.3333
If the quotient is a whole number, then 3 and 40,047,072.3333 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 | 120,141,217 | |
| -1 | -120,141,217 |
Let's try dividing by 4:
120,141,217 ÷ 4 = 30,035,304.25
If the quotient is a whole number, then 4 and 30,035,304.25 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 | 120,141,217 | |
| -1 | 120,141,217 |
If you did it right, you will end up with this table:
| 1 | 7 | 101 | 109 | 707 | 763 | 1,559 | 10,913 | 11,009 | 77,063 | 157,459 | 169,931 | 1,102,213 | 1,189,517 | 17,163,031 | 120,141,217 |
| -1 | -7 | -101 | -109 | -707 | -763 | -1,559 | -10,913 | -11,009 | -77,063 | -157,459 | -169,931 | -1,102,213 | -1,189,517 | -17,163,031 | -120,141,217 |
Here are some more numbers to try:
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