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# Prime Factors of an Integer

ABSALG-GWTS13

An integer $p\in{\mathbb Z}$ is prime if $p\not=0, 1, -1$ and the only divisors of $p$ are $1, -1, p, -p$.

Which of the following statements is correct?

A

Every integer is a product of primes.

B

Every integer except $-1$, $0$, and $1$ is a product of primes.

C

Every integer $n>1$ can be written in only one way as a product of positive primes.

D

If $n=p_1p_2p_3=q_1q_2q_3$ where $p_1 then$p_i=q_i$,$i=1,2,3$. E If$n=p^4=q^4$, where$p,q$are primes, then$p=q\$.