Question

If p is a prime number and p divides k-(where k is a positive integer), then p must divide.... तेवत p प्टिव साउन मEिT 1 डे p, R' उता उततरी ते (निये k प्टिव पठाउाभव संधुतत मधिमा ), ਤਾਂ 2 ਨਿਸ਼ਚਿਤ ਤੌਰ ਤੇ P ठं उगता वतेती :- यदि p एक अभाज्य संख्या है और p. k' को विभाजित करता है (जहाँ । एक धनात्मक सम्पूर्ण संख्या है ) तो p निश्चित तौर पर को भाग करेगी O 2k2-1 k O 3k+1 None of these/ टिग्ठां हिंसें वेप्टी ठी/ इनमें से कोई नहीं​

Answer 1

Answer:

Option d is correct answer:None of these

Step-by-step explanation:

Thanks

Answer 2

Given :  p is a prime number and p divides k²

To Find : then p must divide​

Solution:

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 for if p is not prime

for example

8 divides 4² = 16   but 8 can not divide  4.

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