7×34

The expression 7×34 represents the product of the integers 7 and 34. In standard arithmetic, the result is 238.

7 is a prime number. 34 is composite, equal to 2×17. Therefore the prime factorization of the product 238 is 2×7×17. The product is even and divisible by 2, 7, 14, 17, 34, 119, and 238, among others.

The calculation can be performed by straightforward multiplication: 7×34 = 238. It can also be computed using the distributive property: 7×34 = 7×(30+4) = 210 + 28 = 238. This illustrates how products are built from smaller components.

Applications: In geometry, the area of a rectangle with sides 7 and 34 units is 238 square units. In arithmetic or combinatorics, 7×34 may appear as a factor in larger products or as part of times-tables.

Related topics include the multiplication table, the distributive property, and prime factorization. The commutative property also ensures that 34×7 equals 238.