A:
Positive:
1 x 31022117 x 44317317 x 182483119 x 26069131 x 23681199 x 15589917 x 33831393 x 2227
Negative:
-1 x -3102211-7 x -443173-17 x -182483-119 x -26069-131 x -23681-199 x -15589-917 x -3383-1393 x -2227
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 3,102,211, 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 | 3,102,211 | |
| -1 | -3,102,211 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 3,102,211.
Example:
1 x 3,102,211 = 3,102,211
and
-1 x -3,102,211 = 3,102,211
Notice both answers equal 3,102,211
With that explanation out of the way, let's continue. Next, we take the number 3,102,211 and divide it by 2:
3,102,211 ÷ 2 = 1,551,105.5
If the quotient is a whole number, then 2 and 1,551,105.5 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 | 3,102,211 | |
| -1 | -3,102,211 |
Now, we try dividing 3,102,211 by 3:
3,102,211 ÷ 3 = 1,034,070.3333
If the quotient is a whole number, then 3 and 1,034,070.3333 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 | 3,102,211 | |
| -1 | -3,102,211 |
Let's try dividing by 4:
3,102,211 ÷ 4 = 775,552.75
If the quotient is a whole number, then 4 and 775,552.75 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 | 3,102,211 | |
| -1 | 3,102,211 |
If you did it right, you will end up with this table:
| 1 | 7 | 17 | 119 | 131 | 199 | 917 | 1,393 | 2,227 | 3,383 | 15,589 | 23,681 | 26,069 | 182,483 | 443,173 | 3,102,211 |
| -1 | -7 | -17 | -119 | -131 | -199 | -917 | -1,393 | -2,227 | -3,383 | -15,589 | -23,681 | -26,069 | -182,483 | -443,173 | -3,102,211 |
Here are some more numbers to try:
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