TMUA Practice Question — Worked Solution

P2·Number Theory & Divisibility·4.5Mock 0 · P2 · Q2

counterexamplenumber of factorsprime factorisationprime powersif-then

Consider the following claim about a positive integer

n

:if

n

has exactly six positive factors (including

1

and

n

), then

n

has exactly two different prime factors.Which one of the following values of

n

is a counterexample to the claim?

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