Why prime number cannot be a square number?
Answers
Answered by
16
becuase prime is only dividible by itselgf and one
Answered by
14
A prime number has 2 factors and squares have an odd number of factors.
Explanation:
All square numbers have an odd number of factors.
1 has the factor 1
4 has the factors 1,2,4
9 has the factors 1,3,9
16 has the factors 1,2,4,8,16
x2 has the factors 1,x,x2
A prime number by definition has exactly 2factors - 1 and itself.
Therefore no prime number is a square and no square number is prime.
Explanation:
All square numbers have an odd number of factors.
1 has the factor 1
4 has the factors 1,2,4
9 has the factors 1,3,9
16 has the factors 1,2,4,8,16
x2 has the factors 1,x,x2
A prime number by definition has exactly 2factors - 1 and itself.
Therefore no prime number is a square and no square number is prime.
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