Unique Prime Factorization Explained (Mathematics)

Express 504 in prime factorization format 2^a*3^b*7

Direct Answer: Unique Prime Factorization is defined by: 2^3*3^2*7. 504 ÷ 8 = 63, and 63 ÷ 9 = 7. Thus 504 = 2³ · 3² · 7. The fundamental theorem guarantees this product is unique.

Detailed Step-by-Step Explanation:

504 ÷ 8 = 63, and 63 ÷ 9 = 7. Thus 504 = 2³ · 3² · 7. The fundamental theorem guarantees this product is unique.