21×22

The product of 21 and 22 is 462. This is a simple multiplication problem. 21 multiplied by 22 can be calculated in several ways. One common method is to break down one of the numbers. For example, 21 × 22 can be seen as 21 × (20 + 2). This expands to (21 × 20) + (21 × 2). Calculating these parts separately gives 420 + 42, which equals 462.

Another approach is the standard multiplication algorithm. Writing 21 above 22, we first multiply 21 by the ones digit of 22, which is 2. This gives 42. Then, we multiply 21 by the tens digit of 22, which is 2 (representing 20). This gives 420. Adding these two results, 42 and 420, yields 462.

The number 462 is an even number. It is a composite number, meaning it has factors other than 1 and itself. Its prime factorization is 2 × 3 × 7 × 11. The number 21 is 3 × 7, and 22 is 2 × 11. Multiplying these prime factors together (2 × 3 × 7 × 11) results in 462. This demonstrates the property that the product of two numbers equals the product of their prime factors.