The product of first hundred prime numbers is always a/an Even number odd number prime number number divisible by 3 (how to solve it) Share with your friends Share 4 Devesh Kumar answered this Prime numbers will be 2,3,5,7,11,13,17,19,23,29.............The product of first 100 prime numbers will always be an even number, because it will contain 2 as a factor, since 2 is also a prime number and we are doing 2×3×5×7×11××13×17×19×23×29................ Also the product of first 100 prime numbers will also be divisible by 3, since 3 is also a prime number and it is also used in finding product of prime numbers.The product cannot be a prime number since the product is itself containing factors other than 1.The product cannot be an odd number as it is having 2 as its factor. 10 View Full Answer