A:
Positive:
1 x 21305503317 x 1253264931 x 6872743523 x 407371527 x 404279773 x 2756218891 x 2396313141 x 16213
Negative:
-1 x -213055033-17 x -12532649-31 x -6872743-523 x -407371-527 x -404279-773 x -275621-8891 x -23963-13141 x -16213
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 213,055,033, 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 | 213,055,033 | |
| -1 | -213,055,033 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 213,055,033.
Example:
1 x 213,055,033 = 213,055,033
and
-1 x -213,055,033 = 213,055,033
Notice both answers equal 213,055,033
With that explanation out of the way, let's continue. Next, we take the number 213,055,033 and divide it by 2:
213,055,033 ÷ 2 = 106,527,516.5
If the quotient is a whole number, then 2 and 106,527,516.5 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 | 213,055,033 | |
| -1 | -213,055,033 |
Now, we try dividing 213,055,033 by 3:
213,055,033 ÷ 3 = 71,018,344.3333
If the quotient is a whole number, then 3 and 71,018,344.3333 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 | 213,055,033 | |
| -1 | -213,055,033 |
Let's try dividing by 4:
213,055,033 ÷ 4 = 53,263,758.25
If the quotient is a whole number, then 4 and 53,263,758.25 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 | 213,055,033 | |
| -1 | 213,055,033 |
If you did it right, you will end up with this table:
| 1 | 17 | 31 | 523 | 527 | 773 | 8,891 | 13,141 | 16,213 | 23,963 | 275,621 | 404,279 | 407,371 | 6,872,743 | 12,532,649 | 213,055,033 |
| -1 | -17 | -31 | -523 | -527 | -773 | -8,891 | -13,141 | -16,213 | -23,963 | -275,621 | -404,279 | -407,371 | -6,872,743 | -12,532,649 | -213,055,033 |
Here are some more numbers to try:
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