Question

State whether 7 × 11 × 13 + 7 is a composite number or a prime number.

Answer 1

A number is called a prime number if it has no factor other than 1 and the number itself.
A number is called a composite number if it has at least one factor other than one and the number itself.
Composite number= product of prime numbers.

Or
Any Integer greater than 1, either be a prime number or can be written as a product of prime factors.

SOLUTION:
7 × 11 × 13 + 7
7(11×13+1)
7(143+1)
7×144
7 × 2×2×2×2×3×3
7 × 2⁴ × 3²
It is the product of prime factors 7, 2 and 3.
Hence, it is a composite number.

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Answer 2

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