AMC / AIME · Prime Factorization · Hard

Prime Factorization: Distinct primes math satisfy math. Find math.

Unique factorization.

Try the problem

Distinct primes p,qp,q satisfy p2q3=864p^2q^3=864. Find p+qp+q.

Hint and answer

Concept to use

Trailing zeros style mid.

Hint

Work with the exponents in the prime factorizations.

Answer

5

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