Factor count calculator

Count how many factors (divisors) a number has using the prime factorization method.

Number

If n = p₁^a₁ × p₂^a₂ × ... then τ(n) = (a₁+1)(a₂+1)...

For 360 = 2³ × 3² × 5¹: τ(360) = 4 × 3 × 2 = 24 divisors.

Numbers with more divisors than any smaller number: 1, 2, 4, 6, 12, 24, 36, 48, 60, 120, 180, 240, 360, 720, 1260...