Why is a prime number not a square number?

Cassidy Johnson

Cassidy Johnson

Answered question

2022-02-02

Why is a ' number not a square number?

Answer & Explanation

Utskoldendv3

Utskoldendv3

Beginner2022-02-03Added 9 answers

Step 1
All square numbers have an odd number of factors.
1 has the factor 1
4 has the factor 1, 2, 4
9 has the factors 1, 3, 9
16 has the factors 1, 2, 3, 4, 8, 16
x2 Khas the factors 1, x, x2
A ' number by definition has exactly 2 factors -1 and itself.
Therefore no ' number is a square and no square number is '.

sazrelomi0s

sazrelomi0s

Beginner2022-02-04Added 13 answers

Step 1
This means it has factors other than 1 and itself.
1=1×1
is square, but 1 is (by definition) excluded from the list of s.

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