Q:

The least natural number that is divisible by three different primes is

Accepted Solution

A:
Natural number is any positive whole number. In order to solve this question there are two possible ways:

1) We start by writting down natural numbers one by one. Then we check for it's divisors that are prime numbers. We continue doing this until we find the solution. This approach could take quite some time to complete but it will eventually give the correct answer.

2) We need to find natural number that is divisible by three primes. And it needs to be smallest possible. This means that the product of these numbers is our solution.
We can not take any three random primes as they will not give us the requested solution. 7* 11 * 31 = 2387
We need to take three lowest primes. Those are 2, 3 and 5. 1 is not considered to be a prime.
2 * 3 * 5 = 30
So our solution is 30. All lower numbers do not have three primes as divisors.