3×9

3×9 denotes the product of the integers 3 and 9. The result is obtained by adding 9 to itself three times or, equivalently, by adding 3 to itself nine times. In base-10 arithmetic, 3×9 equals 27. The operation is commutative, so 3×9 = 9×3, and it follows the general properties of multiplication, including associativity with other factors.

Relation to powers: since 9 = 3^2, 3×9 can be written as 3×3^2 = 3^3. Therefore, 3×9 equals 27, which is a perfect cube in terms of prime factorization, being 3^3. The divisors of 27 are 1, 3, 9, and 27, reflecting its prime factor structure.

Context and usage: 3×9 is a standard entry in multiplication tables and appears in various counting tasks, area calculations, and algebraic expressions. It exemplifies how a simple product can connect to concepts such as powers, factorization, and number representation in base-10. In other numeric bases, the value of the product remains 27 in decimal interpretation, but its digit representation changes with the base.