A:
Positive:
1 x 81002117 x 115717317 x 47648343 x 188377119 x 68069301 x 26911731 x 110811583 x 5117
Negative:
-1 x -8100211-7 x -1157173-17 x -476483-43 x -188377-119 x -68069-301 x -26911-731 x -11081-1583 x -5117
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 8,100,211, 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 | 8,100,211 | |
| -1 | -8,100,211 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 8,100,211.
Example:
1 x 8,100,211 = 8,100,211
and
-1 x -8,100,211 = 8,100,211
Notice both answers equal 8,100,211
With that explanation out of the way, let's continue. Next, we take the number 8,100,211 and divide it by 2:
8,100,211 ÷ 2 = 4,050,105.5
If the quotient is a whole number, then 2 and 4,050,105.5 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 | 8,100,211 | |
| -1 | -8,100,211 |
Now, we try dividing 8,100,211 by 3:
8,100,211 ÷ 3 = 2,700,070.3333
If the quotient is a whole number, then 3 and 2,700,070.3333 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 | 8,100,211 | |
| -1 | -8,100,211 |
Let's try dividing by 4:
8,100,211 ÷ 4 = 2,025,052.75
If the quotient is a whole number, then 4 and 2,025,052.75 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 | 8,100,211 | |
| -1 | 8,100,211 |
If you did it right, you will end up with this table:
| 1 | 7 | 17 | 43 | 119 | 301 | 731 | 1,583 | 5,117 | 11,081 | 26,911 | 68,069 | 188,377 | 476,483 | 1,157,173 | 8,100,211 |
| -1 | -7 | -17 | -43 | -119 | -301 | -731 | -1,583 | -5,117 | -11,081 | -26,911 | -68,069 | -188,377 | -476,483 | -1,157,173 | -8,100,211 |
Here are some more numbers to try:
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