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Q: Do prime numbers have a perfect square a factor?
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Related questions

What square numbers below 100 are also prime numbers?

A [perfect] square number, by definition, has a factor which is its square root. As a result it CANNOT be a prime!


What number is a perfect square the only prime factorization of 2 a factor of 32 and odd?

1, 4 and 16 are square numbers that are factors of 32. Of these, 4 and 16 have two as their only prime factor and 1 is odd.


Why they are no square prime numbers?

There are: 3 is a prime and it is the square of √3.There are no primes that are perfect squares since, by definition, a perfect square is of the form n2 = n*n. And for n > 1 , n is a factor of n2. If n = 1, then n2 = 1 which is not a prime since it is only divisible by 1.


Are square numbers also prime numbers?

Absolutely not. A square number has an integer square root, so by definition it has at least one factor. Prime numbers have no factors


Is there any prime numbers that are square numbers?

No, there are no prime numbers that are also square numbers. Prime numbers are only divisible by 1 and themselves, while square numbers have integer square roots. Since the square root of a prime number is not an integer, a prime number cannot be a square number.


What is the greatest perfect square factor of 350?

25. The prime factorisation of 350 is: 2 x 52 x 7 The prime factorisation of a perfect square has an even power of every prime. From the prime factorisation of 350, the highest possible square is 20 x 52 x 70 = 25.


How do you simplify square root of 117?

You look for a perfect square among its factors; if you factor it into prime factors, you would look for a repeated prime factor. Then you take that factor out of the root sign (taking the square root of it, while you do it).


Is the expression 5sqrt30 in simplest form Explain?

Since 30 does not have any square factors greater than one, the expression is in its simplest form.


What is the smallest perfect square that is divisible by the four smallest prime numbers?

44,100


What is the largest perfect square factor of 210?

Except in this case, the largest square factor is 1.


What is the greatest perfect square that is a factor of 7?

17 is a prime number. Its only factors are 1 and 7. Since 1 is a perfect square, it is the answer to the question.


What are 5 prime multiples and square numbers of 50?

25 is a square number that is a factor of 50 and a multiple of the prime number 5.