[insert an original title for a prime number problem]
Number Theory
Level
2
What is the smallest odd number that has 3 different integers and prime dividers ?
The answer is 105.
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1 solution
We are looking for the smallest number.
So start with multiplying the first three smallest numbers in the list of primes (2,3,5,7,11...)
But the required number is odd so remove the even number (that is 2) from the list and now the list is (3,5,7,11,13...)
Now finally start with multiplying the three smallest values in the list and if the product satisfies the given conditions then that's the answer...
Start with :
3 * 5 * 7 which is 105.
Eureka...
We have the smallest odd number that has 3 different integers and prime divisors(that is 3,5 and 7)
Therefore 105 is the answer...