The sum of the exponents of the prime factors in the prime factorisation of 504 is … (1) 3 (2) 2 (3) 1 (4) 6

Question

Choose the correct answer.

The sum of the exponents of the prime factors in the prime factorisation of 504 is …

(1) 3

(2) 2 

(3) 1 

(4) 6

Answer 1

(4) 6

504 = 2³ x 3² x 7¹ 

Sum of the exponents 

= 3 + 2 + 1 = 6