1×162

1×162 is the product of the integers 1 and 162. In basic arithmetic, it equals 162, reflecting the multiplicative identity property that multiplying by 1 leaves a number unchanged.

In linear algebra and data representation, 1×162 often denotes dimensions rather than a numeric value. It describes a row vector or a 1-by-162 matrix: one row with 162 columns. This form is commonly used to represent a single observation with 162 features in a dataset, or to align with other matrices in multiplication.

As a matrix, a 1×162 object can be transposed to a 162×1 column vector. In multiplication, a 1×162 matrix can be multiplied on the right by a 162×k matrix to yield a 1×k matrix, illustrating how shape compatibility governs matrix operations.

Numerically, 162 factors as 2 × 3^4. Its divisor count is 10, with divisors including 1, 2, 3, 6, 9, 18, 27, 54, 81, and 162. This factorization is sometimes relevant in problems involving factor layouts or modular arithmetic.

In computing contexts, shapes like (1, 162) are common in data science and programming libraries. They describe the dimensions of arrays or tensors and influence how operations like broadcasting and matrix multiplication are performed. Understanding the distinction between row (1×162) and column (162×1) orientations is often important for correct algorithm implementation.

See also: multiplicative identity, matrix dimensions, row vector, column vector, matrix multiplication, array shape.