Introduction

The prime factors kata is a math-based kata in which we write a method which will break down any number into a list of its prime factors. This means that we return the set of one or more prime numbers that when multiplied together will give us the initial number.

Requirements

Write a class named PrimeFactors that has one static method: generate. The generate method takes an integer argument and returns a collection of integers. That list contains the prime factors in numerical sequence.

Examples

• generate(2) = [2]
• generate(3) = [3]
• generate(4) = [2,2]
• generate(6) = [2,3]
• generate(8) = [2,2,2]
• generate(9) = [3,3]
• generate(10)=[2,5]
• generate(12) = [2,2,3]