Question

State fundamental theorem of arithmetic. Is 7×11×13+13, a composite number ? Justify.

Answer 1

→Fundamental Theorem of Arithmetic =" every composite number can be expressed or factorise as a product of primes, and this factorising is unique apart from the order in which the prime factors occur."

★it simply says that every composite number can be factorised as a product of primes.

★composite number= number having more than two factors i.e. other than 1 and itself are called composite numbers

= 7 x 11 x 13 + 13

(taking 13 as common)

= 13(7 x 11 x 1+1)

= 13( 77+1)

= 13( 78)

we can see that the given expression has more than two factors, hence it is a composite number

_______________

Answer 2

Answer:

Fundamental Theorem of Arithmetic =" every composite number can be expressed or factorise as a product of primes, and this factorising is unique apart from the order in which the prime factors occur."

★it simply says that every composite number can be factorised as a product of primes.

★composite number= number having more than two factors i.e. other than 1 and itself are called composite numbers

= 7 x 11 x 13 + 13

(taking 13 as common)

= 13(7 x 11 x 1+1)

= 13( 77+1)

= 13( 78)

we can see that the given expression has more than two factors, hence it is a composite number