Question 26 of 36intermediate🔧 ApplyNumerical2 marks
What is the smallest number whose prime factorisation has: a. three different prime numbers? b. four different prime numbers?
(a)
What is the smallest number whose prime factorisation has three different prime numbers?
Answer
The smallest number is 30 = × 5.
(b)
What is the smallest number whose prime factorisation has four different prime numbers?
Answer
The smallest number is 210 = × .
Explanation
(a) Using the three smallest primes (2, 3, 5) each to the power of 1 gives the smallest such number. (b) Using the four smallest primes (2, 3, 5, 7) each to the power of 1 gives the smallest such number.