1×64

1×64 is a basic arithmetic expression representing the product of the numbers 1 and 64. By the multiplicative identity property, any number multiplied by 1 remains unchanged, so 1×64 equals 64. The result can be expressed simply as 64, and it is also recognizable as 2^6 or 8^2, since 64 factors as 2 raised to the sixth power.

In addition to its numerical value, 1×64 is used as a dimensional notation in geometry and data representation. As a rectangle, a 1-by-64 shape has sides of lengths 1 and 64 in the same units, with an area of 64 square units. In linear algebra, 1×64 describes a row vector or a 1-by-64 matrix, consisting of 64 elements arranged in a single row.

In computing and digital systems, 64 is notable for its role as a power of two and as a common data width. A 1-by-64 arrangement of bits, for example, represents 64 bits of information, which is equivalent to 8 bytes. This dimensional and numerical versatility helps explain why the expression 1×64 appears in various contexts, from teaching basic arithmetic to describing data structures and memory layouts. The core idea remains that multiplying by 1 leaves the other factor unchanged, making 1×64 a straightforward instance of the identity property in arithmetic.