Question

13×31×41×63+41 is a prime or composite number

Answer 1

Answer:

It is a composite number

Step-by-step explanation:

This can be confirmed as the units place ends with 4.

Answer 2

Step-by-step explanation:

Given:-

13×31×41×63+41

To find:-

Is 13×31×41×63+41 a prime or composite number ?

Solution:-

Given number = 13×31×41×63+41

On taking 41 as common

=> 41 (13×31×63+1)

=> 41(25389+1)

=> 41(25390)

=> 41×2×5×2539

=> It is a product of prime numbers

=> It is a composite number by The Fundamental Theorem of Arithmetic.

Answer:-

13×31×41×63+41 is a composite number.

Used formula:-

Fundamental Theorem of Arithmetic:-

Every composite number can be expressed as the product of primes and this prime factorization is unique apart from the order in which prime factors occur.