A:
Positive:
1 x 2010030197 x 2871471717 x 11823707119 x 16891011187 x 1693371423 x 1412538309 x 241919961 x 20179
Negative:
-1 x -201003019-7 x -28714717-17 x -11823707-119 x -1689101-1187 x -169337-1423 x -141253-8309 x -24191-9961 x -20179
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 201,003,019, 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 | 201,003,019 | |
| -1 | -201,003,019 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 201,003,019.
Example:
1 x 201,003,019 = 201,003,019
and
-1 x -201,003,019 = 201,003,019
Notice both answers equal 201,003,019
With that explanation out of the way, let's continue. Next, we take the number 201,003,019 and divide it by 2:
201,003,019 ÷ 2 = 100,501,509.5
If the quotient is a whole number, then 2 and 100,501,509.5 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 | 201,003,019 | |
| -1 | -201,003,019 |
Now, we try dividing 201,003,019 by 3:
201,003,019 ÷ 3 = 67,001,006.3333
If the quotient is a whole number, then 3 and 67,001,006.3333 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 | 201,003,019 | |
| -1 | -201,003,019 |
Let's try dividing by 4:
201,003,019 ÷ 4 = 50,250,754.75
If the quotient is a whole number, then 4 and 50,250,754.75 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 | 201,003,019 | |
| -1 | 201,003,019 |
If you did it right, you will end up with this table:
| 1 | 7 | 17 | 119 | 1,187 | 1,423 | 8,309 | 9,961 | 20,179 | 24,191 | 141,253 | 169,337 | 1,689,101 | 11,823,707 | 28,714,717 | 201,003,019 |
| -1 | -7 | -17 | -119 | -1,187 | -1,423 | -8,309 | -9,961 | -20,179 | -24,191 | -141,253 | -169,337 | -1,689,101 | -11,823,707 | -28,714,717 | -201,003,019 |
Here are some more numbers to try:
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