47×53

The expression "47×53" represents the multiplication of the integers 47 and 53. This product is a fundamental arithmetic calculation often used as an example in mathematical discussions, particularly in the context of mental math techniques, number theory, and educational exercises.

The result of 47 multiplied by 53 is 2,491. This can be verified through standard multiplication methods or by breaking the calculation into simpler components. One common approach is to use the difference of squares formula, which simplifies the multiplication of two numbers close to a common base. For instance, 47 and 53 can be expressed as (50 - 3) and (50 + 3), respectively. Applying the formula (a - b)(a + b) = a² - b², the product becomes 50² - 3², which equals 2,500 - 9, resulting in 2,491.

This calculation is also relevant in number theory, as 47 and 53 are both prime numbers. Prime numbers are integers greater than 1 that have no positive divisors other than 1 and themselves. The product of two primes, such as 47 and 53, is a composite number, meaning it has divisors other than 1 and itself.

In educational settings, 47×53 is occasionally used to demonstrate efficient mental math strategies, such as the use of rounding and compensation. For example, one might round 47 to 50, multiply by 53 to get 2,650, and then subtract the excess (3 × 53 = 159) to arrive at the correct answer of 2,491. Such techniques help reinforce understanding of arithmetic operations and number relationships.