105×20

105×20 denotes the product of the integers 105 and 20. The computation yields 2100.

This result can be obtained by several equivalent methods. Using distributive property: 105×20 = 100×20 + 5×20 = 2000 + 100 = 2100. Using prime factorization: 105 = 3×5×7 and 20 = 2^2×5, so the product is 2^2×3×5^2×7 = 2100. Another common approach is to view multiplying by 20 as doubling and then multiplying by 10: (105×2)×10 = 210×10 = 2100.

The prime factorization of 2100 is 2^2 × 3 × 5^2 × 7, making it an even, composite number. The presence of both a factor 2 and a factor 5 explains why the product ends in a zero in decimal notation.

In practical terms, 105×20 can represent different real-world quantities depending on context. For example, it could describe an area of 105 by 20 units equaling 2100 square units, or a total cost of 2100 units of currency when 105 items are priced at 20 each.