AMC / AIME · Prime Factorization · Medium

Prime Factorization: Find the least positive integer with exactly math positive divisors.

Unique factorization.

Try the problem

Find the least positive integer with exactly 66 positive divisors.

Hint and answer

Concept to use

Divisor function.

Hint

Track each prime exponent independently.

Answer

12

More Prime Factorization problems

Practice more with the free Prime Factorization worksheet generator, or browse the full problem library.