6×162

6×162 denotes the product of the integers 6 and 162. In base-10 arithmetic, the result is 972.

Calculation: A direct expansion gives 6×162 = 6×(100+60+2) = 600+360+12 = 972. Another common approach uses the distributive property: 6×162 = 6×(160+2) = 960+12 = 972.

Numerical properties: The prime factorization is 6×162 = (2×3)×(2×3^4) = 2^2×3^5 = 972. Therefore 972 is divisible by 2 and 3, and all divisors formed by combinations of 2^a 3^b with a ∈ {0,1,2} and b ∈ {0,…,5}. In particular, 972 has 18 positive divisors, including 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, and 972.

Context: This is a straightforward example of multiplication used to illustrate basic arithmetic and factorization. The symbol × represents multiplication; in programming, the same operation is often written with a star (*) or by juxtaposition in some notation. In education, 6×162 is a typical item in multiplication tables and mental math practice.