Given; 11×13×15×17+17 is a composite number To Find; Why it is a composite number Solution; Composite numbers are the numbers that don't have a common factor other than 1 11×13×15×17+17 = 36465 + 17 = 36482 Now 36482 is an even number but is formed by-product of various odd numbers Hence it is a composite number However, the reason (R) provided: "Every composite number can be expressed as a product of primes" is true. This is known as the fundamental theorem of arithmetic, which states that every composite number can be expressed as a unique product of prime numbers. If any number can be represented in the form of product of prime numbers then that number is composite number . Hence , ( 17 x 11 x 2 ) + ( 17 x 11 x 5 ) is a composite number . Answer: Step-by-step explanation: it will become 17"2 (21"15"11"1+1)so now clearly on multiplying we get a number which has 17 2 as it factors therfore it is composite
