A:
Positive:
1 x 34164520129 x 1178086961 x 5600741151 x 22625511279 x 2671191769 x 1931294379 x 780199211 x 37091
Negative:
-1 x -341645201-29 x -11780869-61 x -5600741-151 x -2262551-1279 x -267119-1769 x -193129-4379 x -78019-9211 x -37091
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 341,645,201, 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 | 341,645,201 | |
| -1 | -341,645,201 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 341,645,201.
Example:
1 x 341,645,201 = 341,645,201
and
-1 x -341,645,201 = 341,645,201
Notice both answers equal 341,645,201
With that explanation out of the way, let's continue. Next, we take the number 341,645,201 and divide it by 2:
341,645,201 ÷ 2 = 170,822,600.5
If the quotient is a whole number, then 2 and 170,822,600.5 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 | 341,645,201 | |
| -1 | -341,645,201 |
Now, we try dividing 341,645,201 by 3:
341,645,201 ÷ 3 = 113,881,733.6667
If the quotient is a whole number, then 3 and 113,881,733.6667 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 | 341,645,201 | |
| -1 | -341,645,201 |
Let's try dividing by 4:
341,645,201 ÷ 4 = 85,411,300.25
If the quotient is a whole number, then 4 and 85,411,300.25 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 | 341,645,201 | |
| -1 | 341,645,201 |
If you did it right, you will end up with this table:
| 1 | 29 | 61 | 151 | 1,279 | 1,769 | 4,379 | 9,211 | 37,091 | 78,019 | 193,129 | 267,119 | 2,262,551 | 5,600,741 | 11,780,869 | 341,645,201 |
| -1 | -29 | -61 | -151 | -1,279 | -1,769 | -4,379 | -9,211 | -37,091 | -78,019 | -193,129 | -267,119 | -2,262,551 | -5,600,741 | -11,780,869 | -341,645,201 |
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