81×21

81 × 21 is a mathematical expression representing the product of the numbers 81 and 21. Performing the multiplication yields the result 1701. This calculation can be approached in several ways. One method is standard long multiplication, where 81 is multiplied by 1 and then by 20, with the results summed. Alternatively, one could use the distributive property. For example, 81 × 21 can be rewritten as 81 × (20 + 1) = (81 × 20) + (81 × 1), which equals 1620 + 81, resulting in 1701. Another approach is to view 81 as 9 squared (9²) and 21 as 3 times 7. Therefore, 81 × 21 can be seen as (9²) × (3 × 7) or (3⁴) × (3 × 7), which simplifies to 3⁵ × 7. Calculating 3⁵ gives 243, and 243 × 7 equals 1701. The number 1701 itself has a few mathematical properties. It is an odd number and a composite number. Its prime factorization is 3⁵ × 7. In various contexts, such as combinatorics or number theory problems, the product 81 × 21 might appear as an intermediate step or a final answer.