According to Fundamental Theorem of Arithmetic , if p ( a prime number ) divides a square , and a is non negative integer then : a: a divides p , b: p divides a , c: a square divides p , d: p square divides a ( give explanation of answer also )
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Answer:b.p divides a
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Concept
Fundamental theorem states that each integer greater than 1 may be represented uniquely as a product of prime numbers, up to the order of the factors.
Explanation
Let the p( prime number ) be 2 and a( non negative integer )be 5.
1st option: a divides p
In this the quantity a is dividing p because when 2 is split by 5 we are going to get 0.4.
2nd option: p divides a
In this the amount p is dividing a because when 5 is split by 2 we are going to get 2.5.
3rd option: a square divides p
In this 2 is divisible by 25 and that we will get 0.08.
4th option: p square divides a
In this 4 is additionally divisible by 5 and that we will get 1.25
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