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Read a Number by Its Prime Exponents

Write each number as a product of prime powers and the question becomes a question about exponents. A perfect square has every exponent even, the divisor count multiplies (exponent + 1) over the primes, and a fraction terminates exactly when its reduced denominator has no prime but 2 and 5. Grade-school divisibility tested one divisor at a time; this reads the whole factor structure at once.

선행: Divisibility and Remainder Reasoning

진행 단계 (4)