A:
Positive:
1 x 2010110055 x 4020220113 x 1546238565 x 30924771301 x 1545052377 x 845656505 x 3090111885 x 16913
Negative:
-1 x -201011005-5 x -40202201-13 x -15462385-65 x -3092477-1301 x -154505-2377 x -84565-6505 x -30901-11885 x -16913
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 201,011,005, 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 | 201,011,005 | |
| -1 | -201,011,005 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 201,011,005.
Example:
1 x 201,011,005 = 201,011,005
and
-1 x -201,011,005 = 201,011,005
Notice both answers equal 201,011,005
With that explanation out of the way, let's continue. Next, we take the number 201,011,005 and divide it by 2:
201,011,005 ÷ 2 = 100,505,502.5
If the quotient is a whole number, then 2 and 100,505,502.5 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 | 201,011,005 | |
| -1 | -201,011,005 |
Now, we try dividing 201,011,005 by 3:
201,011,005 ÷ 3 = 67,003,668.3333
If the quotient is a whole number, then 3 and 67,003,668.3333 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 | 201,011,005 | |
| -1 | -201,011,005 |
Let's try dividing by 4:
201,011,005 ÷ 4 = 50,252,751.25
If the quotient is a whole number, then 4 and 50,252,751.25 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 | 201,011,005 | |
| -1 | 201,011,005 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 65 | 1,301 | 2,377 | 6,505 | 11,885 | 16,913 | 30,901 | 84,565 | 154,505 | 3,092,477 | 15,462,385 | 40,202,201 | 201,011,005 |
| -1 | -5 | -13 | -65 | -1,301 | -2,377 | -6,505 | -11,885 | -16,913 | -30,901 | -84,565 | -154,505 | -3,092,477 | -15,462,385 | -40,202,201 | -201,011,005 |
Here are some more numbers to try:
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