105×23

105×23 is a multiplication expression that yields the integer 2,415. It is the product of the numbers 105 and 23.

A straightforward computation uses the distributive property: 105×23 = 105×(20+3) = 2,100 + 315 = 2,415.

Prime factorization: 105 = 3 × 5 × 7 and 23 is a prime number, so 105×23 = 3 × 5 × 7 × 23 = 2,415. The result is divisible by 3 and 5, and gcd(105,23) = 1, which implies that the least common multiple of 105 and 23 is also 2,415.

In practical terms, 2,415 is the area of a rectangle with sides 105 and 23 units, and it serves as a straightforward example of multiplying coprime numbers. The factorization 3 × 5 × 7 × 23 shows how the product derives from the prime components of the factors.