23×43

The product of the multiplication 23 × 43 is a fundamental example in mathematics often used to illustrate basic arithmetic operations and properties of numbers. When multiplying these two prime numbers, the result is calculated as follows:

23 × 43 = 989

This multiplication can be broken down using the distributive property of multiplication over addition, a method frequently taught in elementary education. One approach involves expanding the multiplication using the FOIL method or the standard long multiplication technique:

23 × 43 = 23 × (40 + 3) = (23 × 40) + (23 × 3) = 920 + 69 = 989

Alternatively, using the standard long multiplication method:

```

23

× 43

----

69 (23 × 3)

920 (23 × 40, shifted one position to the left)

----

989

```

The number 989 is also notable as a semiprime, meaning it is the product of exactly two prime numbers (23 and 43). Additionally, it is a palindromic number in base 10, as the digits read the same forwards and backwards (989).

In computational contexts, 23 × 43 is a common benchmark used to test the efficiency and accuracy of multiplication algorithms, particularly in programming languages and calculators. The result serves as a simple yet illustrative case study in verifying arithmetic operations.