A:
Positive:
1 x 1201021997 x 1715745779 x 152028197 x 1238167553 x 217183679 x 1768812239 x 536417663 x 15673
Negative:
-1 x -120102199-7 x -17157457-79 x -1520281-97 x -1238167-553 x -217183-679 x -176881-2239 x -53641-7663 x -15673
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 120,102,199, 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 | 120,102,199 | |
| -1 | -120,102,199 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 120,102,199.
Example:
1 x 120,102,199 = 120,102,199
and
-1 x -120,102,199 = 120,102,199
Notice both answers equal 120,102,199
With that explanation out of the way, let's continue. Next, we take the number 120,102,199 and divide it by 2:
120,102,199 ÷ 2 = 60,051,099.5
If the quotient is a whole number, then 2 and 60,051,099.5 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 | 120,102,199 | |
| -1 | -120,102,199 |
Now, we try dividing 120,102,199 by 3:
120,102,199 ÷ 3 = 40,034,066.3333
If the quotient is a whole number, then 3 and 40,034,066.3333 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 | 120,102,199 | |
| -1 | -120,102,199 |
Let's try dividing by 4:
120,102,199 ÷ 4 = 30,025,549.75
If the quotient is a whole number, then 4 and 30,025,549.75 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 | 120,102,199 | |
| -1 | 120,102,199 |
If you did it right, you will end up with this table:
| 1 | 7 | 79 | 97 | 553 | 679 | 2,239 | 7,663 | 15,673 | 53,641 | 176,881 | 217,183 | 1,238,167 | 1,520,281 | 17,157,457 | 120,102,199 |
| -1 | -7 | -79 | -97 | -553 | -679 | -2,239 | -7,663 | -15,673 | -53,641 | -176,881 | -217,183 | -1,238,167 | -1,520,281 | -17,157,457 | -120,102,199 |
Here are some more numbers to try:
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