127×108

127×108 denotes the product of the integers 127 and 108. The calculation yields 13,716, obtained by multiplying 127 by 100 and by 8 and adding the results: (127×100) + (127×8) = 12,700 + 1,016 = 13,716.

Mathematical properties: 127 is a prime number and is known as a Mersenne prime, since 127 = 2^7 − 1. The other factor, 108, factors as 2^2 × 3^3. Therefore, the product 127×108 can be expressed by its prime factorization as 2^2 × 3^3 × 127, which equals 13,716. The number of positive divisors of 13,716 is (2+1) × (3+1) × (1+1) = 24.

Contexts and usage: The product can represent the area of a rectangle with sides 127 and 108 units. It also serves as an example of multiplying a prime by a composite number and illustrates how prime factorization combines across factors. In decimal form, the result is 13,716, and its evenness reflects the presence of the factor 2^2 in the decomposition.

Summary: The expression 127×108 equals 13,716, with prime factorization 2^2 × 3^3 × 127. The computation highlights the interaction between a prime and a composite factor, and the result is suitable for area calculations or arithmetic demonstrations involving factorization.