Browse · MATH Print → jmc number theory intermediate Problem Find the number of distinct positive divisors of (30)4 excluding 1 and (30)4. Solution — click to reveal (304)=(21⋅31⋅51)4=24⋅34⋅54Since t(304)=(4+1)3=125, taking out 1 and (304) leaves 125−2=123 positive divisors. Final answer 123 ← Previous problem Next problem →