If a number is in the form of 810 × 97 × 78, find the total number of prime factors of the given number.

Question: If a number is in the form of 810 × 97 × 78, find the total number of prime factors of the given number.Solution:If a number of the form xa × yb × zc ...... and so on, then total prime factors = a + b + c ..... and so on Where x, y, z, ... are prime numbers The number 810 × 97 × 78 can be written as (23)10 × (32)7 × 78 = 230 × 314 × 78 Total number of prime factors = 30 + 14 + 8 = 52∴ The total number of prime factors are 52