36×1006

36×1006 denotes the product of the integers 36 and 1006. The resulting value is 36216.

One way to compute it is by decomposition: 1006 = 1000 + 6, so 36×1006 = 36×1000 + 36×6 = 36000 + 216 = 36216.

Factorization and properties: 36 = 2^2 × 3^2, and 1006 = 2 × 503, where 503 is a prime number. Therefore, 36216 = 2^3 × 3^2 × 503. The product is even, and it is divisible by 8 and by 9 (the digit sum of 36216 is 3+6+2+1+6 = 18, which is divisible by 9).

Context and uses: In arithmetic and algebra, products like 36×1006 arise in area calculations, scaling problems, and combinatorial counting. The numerical value 36216 can serve as a component in larger calculations, such as forming sums or evaluating expressions that involve multiples of 36 or 1006. The result is a five-digit even number and is suitable for use in decimal-based computations and unit-free numerical reasoning.