A:
Positive:
1 x 2120400177 x 3029143183 x 2554699163 x 1300859581 x 3649571141 x 1858372239 x 9470313529 x 15673
Negative:
-1 x -212040017-7 x -30291431-83 x -2554699-163 x -1300859-581 x -364957-1141 x -185837-2239 x -94703-13529 x -15673
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 212,040,017, 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 | 212,040,017 | |
| -1 | -212,040,017 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 212,040,017.
Example:
1 x 212,040,017 = 212,040,017
and
-1 x -212,040,017 = 212,040,017
Notice both answers equal 212,040,017
With that explanation out of the way, let's continue. Next, we take the number 212,040,017 and divide it by 2:
212,040,017 ÷ 2 = 106,020,008.5
If the quotient is a whole number, then 2 and 106,020,008.5 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 | 212,040,017 | |
| -1 | -212,040,017 |
Now, we try dividing 212,040,017 by 3:
212,040,017 ÷ 3 = 70,680,005.6667
If the quotient is a whole number, then 3 and 70,680,005.6667 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 | 212,040,017 | |
| -1 | -212,040,017 |
Let's try dividing by 4:
212,040,017 ÷ 4 = 53,010,004.25
If the quotient is a whole number, then 4 and 53,010,004.25 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 | 212,040,017 | |
| -1 | 212,040,017 |
If you did it right, you will end up with this table:
| 1 | 7 | 83 | 163 | 581 | 1,141 | 2,239 | 13,529 | 15,673 | 94,703 | 185,837 | 364,957 | 1,300,859 | 2,554,699 | 30,291,431 | 212,040,017 |
| -1 | -7 | -83 | -163 | -581 | -1,141 | -2,239 | -13,529 | -15,673 | -94,703 | -185,837 | -364,957 | -1,300,859 | -2,554,699 | -30,291,431 | -212,040,017 |
Here are some more numbers to try:
Try the factor calculator