42×180

42×180 denotes the product of the integers 42 and 180. The value is 7,560.

The multiplication can be computed by distributive property: 42×180 = (40+2)×180 = 7200+360 = 7560.

Prime factorization: 42 = 2×3×7 and 180 = 2^2×3^2×5, so 42×180 = 2^3×3^3×5×7 = 7560. The product has 64 divisors, since the exponent pattern is (3+1)(3+1)(1+1)(1+1) = 4×4×2×2 = 64.

GCD(42,180) = 6, and the least common multiple is LCM(42,180) = (42×180)/6 = 1260. This reflects the relationship between the product, gcd, and lcm of two integers.

In practical use, 7560 may appear as an area or quantity in problems involving a 42-by-180 rectangle, or as a unitless product in mathematical contexts. It also serves as an example of a highly composite number with a relatively large number of divisors for integers of this size.