2×3×2×2×2

The expression "2×3×2×2×2" represents a mathematical product involving the multiplication of five integers. When evaluated, it yields the result 48.

To understand this expression, it is helpful to consider the associative property of multiplication, which states that the order in which numbers are multiplied does not affect the final product. By grouping the factors, the calculation can be simplified. First, multiply the smaller numbers: 2×3 = 6. Then, multiply this result by the remaining factors: 6×2 = 12, 12×2 = 24, and 24×2 = 48.

Prime factorization of the numbers involved reveals the multiplicative structure: the numbers are composed of prime factors 2 and 3. Specifically, the factorization of the entire expression is 2^5 × 3, since 2 appears five times and 3 appears once.

This product is often used in combinatorial calculations, such as determining the number of arrangements or configurations in specific contexts, or in algebraic simplifications involving exponents. It also illustrates the importance of prime factorization in understanding the properties of numbers, such as divisibility and common factors.

The value 48 has several divisors, including 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48 itself, making it a highly composite number with numerous factorizations. It appears frequently in contexts relating to measurement, divisions of objects, and in various scientific applications.