127×99

127 × 99 is the product of the integers 127 and 99, which equals 12,573. Calculation can proceed directly: 127 × 99 = 127 × (100 − 1) = 12,700 − 127 = 12,573.

Numerical properties: The result factors as 3^2 × 11 × 127. This reflects the factorization of 99 (3^2 × 11) multiplied by 127, a prime. The number 12,573 is a five-digit decimal integer. In binary, it is represented as 11000100011101 (base 2).

Context and significance: 127 is a prime number and is notable as a Mersenne prime (2^7 − 1). 99 is composite. The product 12,573 therefore combines a prime factor 127 with the composite structure 3^2 × 11, illustrating how prime factorization distributes over multiplication. The calculation also serves as a simple example of the distributive property and of converting between decimal and binary representations.

Applications: This product is primarily of educational use, illustrating basic arithmetic, prime factorization, and base conversion rather than a value with specific wide-ranging applications.

See also: Multiplication, prime numbers, Mersenne primes, factorization, number bases.