Question

show that 5*7*19*23+23 is a composite number​

Answer 1

Step-by-step explanation:

Given:-

5×7×19×23+23

To find:-

Show that 5×7×19×23+23 is a composite number?

Solution:-

Given number = 5×7×19×23+23

=> 23(5×7×19+1)

=> 23(665+1)

=> 23 ( 666)

=> 23×666

=> 23×2×3×3×37

=> 2×3×3×23×37

=> Product of prime numbers

By Fundamental Theorem of Arithmetic

Given number is in the form of the product of prime numbers.

So, 5×7×19×23+23 is a composite number.

Answer:-

5×7×19×23+23 is a composite number.

Used Concept:-

Fundamental theorem of Arithmetic:-

"Every composite number can be expressed as the product of prime numbers and this prime factorization is unique apart from its order" .