41×8

41×8 denotes the product of the integers 41 and 8. The result is 328.

This multiplication can be computed in several equivalent ways. Using the distributive property: (40+1)×8 = 320+8 = 328. Because multiplication is commutative, 41×8 = 8×41 as well. A quick mental math check is 40×8 + 1×8, which also equals 320 + 8 = 328.

Prime factorization shows the structure of the product: 328 = 2^3 × 41, since 8 = 2^3 and 41 is a prime number. This also reflects that the factors 41 and 8 share no common prime factors.

Context and applications: the product represents the area of a rectangle with sides 41 units and 8 units, yielding 328 square units. It also serves as an example in multiplication tables and arithmetic drills, illustrating basic properties of integers and prime factorization.

In different numeral systems, 41×8 equals 328 in decimal. For instance, in binary, 41 is 101001₂, and multiplying by 8 (which is 1000₂) shifts left by three bits to 101001000₂, which is 328 in decimal.