How many distinct prime factors does 2^{16} 3^{4} 5^{2} have?

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{"content":[{"type":"paragraph","content":[{"type":"text","marks":[{"type":"bold"}],"text":"Step 1 (Understand Prime Factors):"},{"type":"text","text":" The prime factors of a number are the distinct prime numbers that divide the number. We are given the number already in its prime factorization form:"}]},{"attrs":{"latex":"N = 2^{16} \times 3^{4} \times 5^{2}"},"type":"math_block"},{"content":[{"marks":[{"type":"bold"}],"text":"Step 2 (Identify Distinct Bases):","type":"text"},{"type":"text","text":" The bases in this prime factorization represent the prime factors of the number. The distinct bases are:"}],"type":"paragraph"},{"type":"bullet_list","content":[{"content":[{"content":[{"attrs":{"latex":"2"},"type":"math_inline"}],"type":"paragraph"}],"type":"list_item"},{"content":[{"content":[{"attrs":{"latex":"3"},"type":"math_inline"}],"type":"paragraph"}],"type":"list_item"},{"content":[{"type":"paragraph","content":[{"attrs":{"latex":"5"},"type":"math_inline"}]}],"type":"list_item"}]},{"content":[{"type":"text","marks":[{"type":"bold"}],"text":"Step 3 (Conclusion):"},{"type":"text","text":" There are exactly 3 distinct prime factors. The answer is "},{"marks":[{"type":"code"}],"text":"3","type":"text"},{"type":"text","text":"."}],"type":"paragraph"}],"type":"doc"}

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