स्पी इज द प्राइम नंबर एंड पी डिवाइड्स के स्क्वायर डेंटेड वाइट ड्रेस
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p is a prime number and p divides k2, then p divides. k also
Step-by-step explanation:
p is a prime number hence p has only factor p & 1
p divides k²
=> k² = pq
as p is prime number
Hence q must have a factor of p as well
so that square can be formed
=> k² = p (ps)
=> k² = p²s
=> p² divides k²
hence p divides k also
This is not true if p is not prime
for example
8 divides 4² = 16 but 8 can not divided 4.
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