A:
Positive:
1 x 2214311455 x 4428622913 x 1703316565 x 3406633167 x 1325935835 x 2651872171 x 10199510855 x 20399
Negative:
-1 x -221431145-5 x -44286229-13 x -17033165-65 x -3406633-167 x -1325935-835 x -265187-2171 x -101995-10855 x -20399
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 221,431,145, 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 | 221,431,145 | |
| -1 | -221,431,145 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 221,431,145.
Example:
1 x 221,431,145 = 221,431,145
and
-1 x -221,431,145 = 221,431,145
Notice both answers equal 221,431,145
With that explanation out of the way, let's continue. Next, we take the number 221,431,145 and divide it by 2:
221,431,145 ÷ 2 = 110,715,572.5
If the quotient is a whole number, then 2 and 110,715,572.5 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 | 221,431,145 | |
| -1 | -221,431,145 |
Now, we try dividing 221,431,145 by 3:
221,431,145 ÷ 3 = 73,810,381.6667
If the quotient is a whole number, then 3 and 73,810,381.6667 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 | 221,431,145 | |
| -1 | -221,431,145 |
Let's try dividing by 4:
221,431,145 ÷ 4 = 55,357,786.25
If the quotient is a whole number, then 4 and 55,357,786.25 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 | 221,431,145 | |
| -1 | 221,431,145 |
If you did it right, you will end up with this table:
| 1 | 5 | 13 | 65 | 167 | 835 | 2,171 | 10,855 | 20,399 | 101,995 | 265,187 | 1,325,935 | 3,406,633 | 17,033,165 | 44,286,229 | 221,431,145 |
| -1 | -5 | -13 | -65 | -167 | -835 | -2,171 | -10,855 | -20,399 | -101,995 | -265,187 | -1,325,935 | -3,406,633 | -17,033,165 | -44,286,229 | -221,431,145 |
Here are some more numbers to try:
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