3×8×20×30

3×8×20×30 is a simple arithmetic expression formed by multiplying four integers: 3, 8, 20, and 30. Evaluating the expression yields 14,400.

Prime factorization confirms the value: 14,400 = 2^6 × 3^2 × 5^2. The result is a perfect square, since the square root of 14,400 is 120.

The product can be regrouped in various ways without changing the result, for example (3×30) × (8×20) = 90 × 160 = 14,400, or (3×8) × (20×30) = 24 × 600. It can also be written as (12×10)^2, since 120^2 = 14,400.

In mathematical contexts, expressions like 3×8×20×30 illustrate basic properties of multiplication, including commutativity and associativity, and they provide straightforward examples for practicing prime factorization and recognizing perfect squares. The numerical value can also appear in applied settings as a ready-made quantity in problems involving areas, volumes (in higher-dimensional considerations), or unit conversions, though the expression itself represents a purely numerical product in its standard form. See also arithmetic multiplication, prime factorization, and perfect squares for related concepts.