Prove that a positive integer n is prime number if no prime p less than or equal to √n divides n

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Given that p ∤ n for all p ≤ ∛n, prove that n is either a prime or the product of two primes.Given that p ∤ n for all p ≤ ∛n, prove that n is either a prime or the product of two primes.
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There exists a prime p between n and n! .There exists a prime p between n and n! .
If n is not a prime, then there must be a prime p less than or equal to sqrt(n) that divides n.If n is not a prime, then there must be a prime p less than or equal to sqrt(n) that divides n.