A:
Positive:
1 x 1200120117 x 70595361 x 19674171 x 169031163 x 736271037 x 115731207 x 99432771 x 4331
Negative:
-1 x -12001201-17 x -705953-61 x -196741-71 x -169031-163 x -73627-1037 x -11573-1207 x -9943-2771 x -4331
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 12,001,201, 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 | 12,001,201 | |
| -1 | -12,001,201 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 12,001,201.
Example:
1 x 12,001,201 = 12,001,201
and
-1 x -12,001,201 = 12,001,201
Notice both answers equal 12,001,201
With that explanation out of the way, let's continue. Next, we take the number 12,001,201 and divide it by 2:
12,001,201 ÷ 2 = 6,000,600.5
If the quotient is a whole number, then 2 and 6,000,600.5 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 | 12,001,201 | |
| -1 | -12,001,201 |
Now, we try dividing 12,001,201 by 3:
12,001,201 ÷ 3 = 4,000,400.3333
If the quotient is a whole number, then 3 and 4,000,400.3333 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 | 12,001,201 | |
| -1 | -12,001,201 |
Let's try dividing by 4:
12,001,201 ÷ 4 = 3,000,300.25
If the quotient is a whole number, then 4 and 3,000,300.25 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 | 12,001,201 | |
| -1 | 12,001,201 |
If you did it right, you will end up with this table:
| 1 | 17 | 61 | 71 | 163 | 1,037 | 1,207 | 2,771 | 4,331 | 9,943 | 11,573 | 73,627 | 169,031 | 196,741 | 705,953 | 12,001,201 |
| -1 | -17 | -61 | -71 | -163 | -1,037 | -1,207 | -2,771 | -4,331 | -9,943 | -11,573 | -73,627 | -169,031 | -196,741 | -705,953 | -12,001,201 |
Here are some more numbers to try:
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