3×6×12×90

3×6×12×90 is a simple arithmetic expression representing the product of four integers. Evaluating it yields 19,440: 3×6=18; 18×12=216; 216×90=19,440.

Prime factorization: 3 × 6 × 12 × 90 equals 2^4 × 3^5 × 5. This comes from factoring each term: 3 = 3; 6 = 2×3; 12 = 2^2×3; 90 = 2×3^2×5; collecting primes gives 2^(1+2+1) × 3^(1+1+1+2) × 5^1 = 2^4 × 3^5 × 5.

Numerical properties: 19,440 is divisible by 10 and by 9, among others. It has 60 positive divisors, since the exponents in its prime factorization are 4, 5, and 1, and (4+1)(5+1)(1+1) = 60. It can be expressed as 360×54 or 27×720, and as 16×243×5.

Context: The product does not possess a widely recognized special significance beyond standard arithmetic. Its factorization demonstrates how multiplying numbers with common prime factors yields a larger composite number, a common occurrence in number theory and various applied problems.