25×3

25×3 denotes the product of the integers 25 and 3 in standard arithmetic. It equals 75, which can be understood as twenty-five added to itself three times: 25 + 25 + 25. The result is also the area of a rectangle with sides measuring 25 and 3 units, giving an area of 75 square units.

In terms of properties, multiplication is commutative, so 25×3 = 3×25. It is also distributive over addition, as shown by 25×3 = 25×(2+1) = 25×2 + 25×1 = 50 + 25.

Prime factorization shows that 75 = 3 × 5^2, since 25 = 5^2 and 3 is prime. Consequently, the factors of 75 include 1, 3, 5, 15, 25, and 75.

Applications of this product appear in everyday arithmetic, measurements, pricing, and scaling problems. It is a basic example of a multiplication fact used to illustrate arithmetic operations and their relationships, including the equivalence of repeated addition and the area interpretation.