12×162

12 × 162 denotes the product of the integers 12 and 162. The result is 1944. This makes the expression a straightforward example of multiplication used to illustrate arithmetic operations.

A short calculation confirms the product: 12 × 162 = 12 × 100 + 12 × 60 + 12 × 2 = 1200 + 720 + 24 = 1944. Another way to see it is to rearrange factors: 162 × 12 = (81 × 2) × 12 = 81 × 24 = 1944.

Prime factorization shows how the product arises from basic primes. 12 = 2^2 × 3 and 162 = 2 × 3^4, so 12 × 162 = 2^3 × 3^5 = 1944. Consequently, 1944 is divisible by 8 (2^3) and by 243 (3^5), among other factors.

In terms of divisibility and common multiples, the greatest common divisor of 12 and 162 is gcd(12, 162) = 6, and the least common multiple is lcm(12, 162) = 12 × 162 / gcd = 324. The product 1944 therefore represents a value linked to both the factor structure of the pair and their shared divisors.

Overall, 12 × 162 serves as a concise example in basic arithmetic, illustrating multiplication, factorization, and related divisibility concepts in number theory.

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