Question

Explain why $(3\times 5\times 13\times 46)+23$ is a composite number.

Answer 1

$(3\times 5\times 13\times 46)+23$

$(3\times 5\times 13\times 2\times 23)+23$

$23(3\times 5\times 13\times 2)+1)$

Since the number is divisble by $23$ and $(3\times 5\times 13\times 2)+1)$

therefore $(3\times 5\times 13\times 46)+23$ is a composite number