81×231

81×231 represents the product of the integers 81 and 231. The result is 18,711.

One way to compute it is by expansion: 81×231 = 81×200 + 81×30 + 81×1 = 16,200 + 2,430 + 81 = 18,711.

Prime factorization clarifies its structure: 81 equals 3^4, and 231 equals 3×7×11. Multiplying these gives 81×231 = 3^5×7×11 = 18,711. This shows the product is divisible by 3, and in fact by 3^5 (243), since 18,711 = 243×77.

As a decimal number, 18,711 is odd and composite. Its divisibility tests reflect its factorization: it is divisible by 3, 9, 27, 81, and 243, but not by higher powers of 3 beyond 3^5. The digital sum is 1+8+7+1+1 = 18, whose digital root is 9, confirming divisibility by 9.

In summary, 81×231 equals 18,711, with a prime factorization of 3^5×7×11. The value is a straightforward example of product, multiplication, and factorization in elementary arithmetic, without any special mathematical significance beyond these properties.