State True or False
Every composite number can be factorised as a product of primes.

True

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False

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Solution

The correct option is A True
The Fundamental Theorem of Arithmetic says that every composite number can be factorised as a product of primes.
Any integer greater than 1 is either a prime number, or can be written as a unique product of prime numbers (ignoring the order).
For example, we regard $2 \times 3 \times 5 \times 7$ as the same as $3 \times 5 \times 7 \times 2$ , or any other possible order in which these primes are written.

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Similar questions

Every composite number can be factorised as a product of primes.

State true (T) of false (F):

$(i)$ The sum of primes cannot be a prime.

$(i i)$ The product of primes cannot be a prime.

$(i i i)$ An even number is composite.

$(i v)$ Two consecutive numbers cannot be both primes.

$(v)$ Odd numbers cannot be composite.

$(v i)$ Odd numbers cannot be written as sum of primes.

$(v i i)$ A number and its successor are always co-primes.

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