A:
Positive:
1 x 21100660113 x 1623127717 x 12412153221 x 954781401 x 5262012381 x 886215213 x 404776817 x 30953
Negative:
-1 x -211006601-13 x -16231277-17 x -12412153-221 x -954781-401 x -526201-2381 x -88621-5213 x -40477-6817 x -30953
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 211,006,601, 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 | 211,006,601 | |
| -1 | -211,006,601 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 211,006,601.
Example:
1 x 211,006,601 = 211,006,601
and
-1 x -211,006,601 = 211,006,601
Notice both answers equal 211,006,601
With that explanation out of the way, let's continue. Next, we take the number 211,006,601 and divide it by 2:
211,006,601 ÷ 2 = 105,503,300.5
If the quotient is a whole number, then 2 and 105,503,300.5 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 | 211,006,601 | |
| -1 | -211,006,601 |
Now, we try dividing 211,006,601 by 3:
211,006,601 ÷ 3 = 70,335,533.6667
If the quotient is a whole number, then 3 and 70,335,533.6667 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 | 211,006,601 | |
| -1 | -211,006,601 |
Let's try dividing by 4:
211,006,601 ÷ 4 = 52,751,650.25
If the quotient is a whole number, then 4 and 52,751,650.25 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 | 211,006,601 | |
| -1 | 211,006,601 |
If you did it right, you will end up with this table:
| 1 | 13 | 17 | 221 | 401 | 2,381 | 5,213 | 6,817 | 30,953 | 40,477 | 88,621 | 526,201 | 954,781 | 12,412,153 | 16,231,277 | 211,006,601 |
| -1 | -13 | -17 | -221 | -401 | -2,381 | -5,213 | -6,817 | -30,953 | -40,477 | -88,621 | -526,201 | -954,781 | -12,412,153 | -16,231,277 | -211,006,601 |
Here are some more numbers to try:
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