A:
Positive:
1 x 2115465177 x 3022093113 x 1627280991 x 2324687769 x 2750933023 x 699795383 x 392999997 x 21161
Negative:
-1 x -211546517-7 x -30220931-13 x -16272809-91 x -2324687-769 x -275093-3023 x -69979-5383 x -39299-9997 x -21161
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 211,546,517, 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 | 211,546,517 | |
| -1 | -211,546,517 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 211,546,517.
Example:
1 x 211,546,517 = 211,546,517
and
-1 x -211,546,517 = 211,546,517
Notice both answers equal 211,546,517
With that explanation out of the way, let's continue. Next, we take the number 211,546,517 and divide it by 2:
211,546,517 ÷ 2 = 105,773,258.5
If the quotient is a whole number, then 2 and 105,773,258.5 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 | 211,546,517 | |
| -1 | -211,546,517 |
Now, we try dividing 211,546,517 by 3:
211,546,517 ÷ 3 = 70,515,505.6667
If the quotient is a whole number, then 3 and 70,515,505.6667 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 | 211,546,517 | |
| -1 | -211,546,517 |
Let's try dividing by 4:
211,546,517 ÷ 4 = 52,886,629.25
If the quotient is a whole number, then 4 and 52,886,629.25 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 | 211,546,517 | |
| -1 | 211,546,517 |
If you did it right, you will end up with this table:
| 1 | 7 | 13 | 91 | 769 | 3,023 | 5,383 | 9,997 | 21,161 | 39,299 | 69,979 | 275,093 | 2,324,687 | 16,272,809 | 30,220,931 | 211,546,517 |
| -1 | -7 | -13 | -91 | -769 | -3,023 | -5,383 | -9,997 | -21,161 | -39,299 | -69,979 | -275,093 | -2,324,687 | -16,272,809 | -30,220,931 | -211,546,517 |
Here are some more numbers to try:
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