A:
Positive:
1 x 13322112111 x 12111011101 x 1319021121 x 1101001991 x 1344311111 x 1199111331 x 10009110901 x 12221
Negative:
-1 x -133221121-11 x -12111011-101 x -1319021-121 x -1101001-991 x -134431-1111 x -119911-1331 x -100091-10901 x -12221
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 133,221,121, 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 | 133,221,121 | |
| -1 | -133,221,121 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 133,221,121.
Example:
1 x 133,221,121 = 133,221,121
and
-1 x -133,221,121 = 133,221,121
Notice both answers equal 133,221,121
With that explanation out of the way, let's continue. Next, we take the number 133,221,121 and divide it by 2:
133,221,121 ÷ 2 = 66,610,560.5
If the quotient is a whole number, then 2 and 66,610,560.5 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 | 133,221,121 | |
| -1 | -133,221,121 |
Now, we try dividing 133,221,121 by 3:
133,221,121 ÷ 3 = 44,407,040.3333
If the quotient is a whole number, then 3 and 44,407,040.3333 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 | 133,221,121 | |
| -1 | -133,221,121 |
Let's try dividing by 4:
133,221,121 ÷ 4 = 33,305,280.25
If the quotient is a whole number, then 4 and 33,305,280.25 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 | 133,221,121 | |
| -1 | 133,221,121 |
If you did it right, you will end up with this table:
| 1 | 11 | 101 | 121 | 991 | 1,111 | 1,331 | 10,901 | 12,221 | 100,091 | 119,911 | 134,431 | 1,101,001 | 1,319,021 | 12,111,011 | 133,221,121 |
| -1 | -11 | -101 | -121 | -991 | -1,111 | -1,331 | -10,901 | -12,221 | -100,091 | -119,911 | -134,431 | -1,101,001 | -1,319,021 | -12,111,011 | -133,221,121 |
Here are some more numbers to try:
Try the factor calculator