A:
Positive:
1 x 1201002117 x 1715717311 x 1091820177 x 1559743101 x 1189111707 x 1698731111 x 1081017777 x 15443
Negative:
-1 x -120100211-7 x -17157173-11 x -10918201-77 x -1559743-101 x -1189111-707 x -169873-1111 x -108101-7777 x -15443
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 120,100,211, 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 | 120,100,211 | |
| -1 | -120,100,211 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 120,100,211.
Example:
1 x 120,100,211 = 120,100,211
and
-1 x -120,100,211 = 120,100,211
Notice both answers equal 120,100,211
With that explanation out of the way, let's continue. Next, we take the number 120,100,211 and divide it by 2:
120,100,211 ÷ 2 = 60,050,105.5
If the quotient is a whole number, then 2 and 60,050,105.5 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 | 120,100,211 | |
| -1 | -120,100,211 |
Now, we try dividing 120,100,211 by 3:
120,100,211 ÷ 3 = 40,033,403.6667
If the quotient is a whole number, then 3 and 40,033,403.6667 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 | 120,100,211 | |
| -1 | -120,100,211 |
Let's try dividing by 4:
120,100,211 ÷ 4 = 30,025,052.75
If the quotient is a whole number, then 4 and 30,025,052.75 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 | 120,100,211 | |
| -1 | 120,100,211 |
If you did it right, you will end up with this table:
| 1 | 7 | 11 | 77 | 101 | 707 | 1,111 | 7,777 | 15,443 | 108,101 | 169,873 | 1,189,111 | 1,559,743 | 10,918,201 | 17,157,173 | 120,100,211 |
| -1 | -7 | -11 | -77 | -101 | -707 | -1,111 | -7,777 | -15,443 | -108,101 | -169,873 | -1,189,111 | -1,559,743 | -10,918,201 | -17,157,173 | -120,100,211 |
Here are some more numbers to try:
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