59×301

59×301 is a multiplication involving the integers 59 and 301. The standard calculation yields the product 17759.

Calculation details:

59 × 301 can be computed as 59 × (300 + 1) = 59 × 300 + 59 × 1 = 17700 + 59 = 17759.

Prime factorization and relationships:

Since 301 = 7 × 43, the product can be written as 59 × 301 = 59 × 7 × 43 = 7 × 43 × 59, giving the prime factorization of 17759 as 7 × 43 × 59. Therefore, the result is divisible by 7, 43, and 59, but not by 2, 3, or 5. The gcd of 59 and 301 is 1, illustrating that these factors are coprime.

Numerical properties:

The product 17759 is an odd number with a digit sum of 29, indicating it is not divisible by 3. It is not a multiple of 10, and its full prime factorization is 7 × 43 × 59.

Context and use:

As a simple example, 59×301 can be used to demonstrate basic arithmetic concepts such as distributive property, factoring, and the relationship between products and prime factors. Its decomposition into 7, 43, and 59 also provides a concrete instance of how composite numbers can arise from multiplying a prime by a composite number.