7×30

7×30 denotes the product of the integers 7 and 30 in arithmetic multiplication. It equals the result of multiplying seven by thirty and can also be interpreted as the area of a rectangle with sides 7 and 30 units.

Calculation: 7×30 = 210. This can be calculated as 7×3×10 = 21×10, or through repeated addition of 30 seven times.

Properties: The product is 210, an even composite number. Its prime factorization is 2 × 3 × 5 × 7. Consequently, 210 has divisors including 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, and 210. The expression is commutative, so 7×30 = 30×7.

Representations and usage: In binary, 210 is 11010010. The product appears in multiplication tables and is commonly used in problems involving area, scaling, and unit conversion. It also illustrates the distributive property: 7×30 = 7×(3×10) = (7×3)×10 = 21×10 = 210.