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No. A Prime number is always odd.

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Factoring and Multiples

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What is the prime factorization of 24

What is the prime factorization of 54

What is the prime factorization of 64

What is the prime factorization of 34

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Q: Can a perfect square be a prime number Explain?
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Related questions

Can a prime number be a perfect square?

No.


Is 1 a prime number or a square number?

1 is not considered a prime number; 1 is a perfect square.


Will the square root of a prime number be rational or irrational?

Nice question! The square root of (any number that isn't a perfect square) is irrational. No prime number is a perfect square. So the square root of any prime number is irrational.


Is there a prime number where there is 1 less than a perfect square?

3 is prime, 1 less than the perfect square of 4 (2x2)


What number is a perfect square the only prime number in its prime factorization is 2 and the sum is odd?

16


Why is the number 40 not a perfect square?

because it needs to be a prime number and it has to be simplified


Is 5329 a prime number?

No, it's a perfect square 73 * 73.


Is a prime number cannot be a perfect square?

That is correct.


No prime number can be a perfect square True or false?

True. By definition, a prime number is divisible by one and by itself. Also by definition, a perfect square has at least an additional pair of factors - it's square root. Therefore a prime number could never be a perfect square. One exception that might come to mind in this case is the number one. One however, is not considered a prime number, and thus does not conflict with this rule.


What number is a perfect square with 2 as its only prime number in its prime factorization?

4, 16, 64 and many others


Is there a product of two perfect squares that is not a perfect square?

No there isn't. every perfect square number can be factored into prime number. At their factoration you'll always have multiples of two on the primes exponent. Therefore you'll multiply a prime raised to a 2-multiple number with another prime raised to a 2-multiple number wich gives you also a number that factored gives you a product of prime numbers raised to a 2-multiple number and so, a perfect square.


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!


Can a perfect number also be a prime number and how?

A perfect number cannot be a prime.


If a number has an odd number of factors is it a perfect square?

If you mean 'prime' factors, then an odd number of them CAN'T produce a perfect square. Consider 3 factors ... A, B, and C. If their product were a perfect square, then AxB=C, which can't be true if C is a prime number. For non-prime factors, an odd number of them may or may not be a perfect square: Three factors = not a square: 2 x 3 x 5 = 30. Three factors = a square: 2 x 3 x 6 = 36.


Your number is a perfect square the only prime number in its prime factorization is 2 your number is a factor of 32 the sum of its digits is odd?

16.


What number is a perfect square the only prime number in its prime factorization is two the number is a factor of 32 and the sum of its digit is odd?

16


A number that is a perfect square the only prime number in its prime factorization is 2 a factor of 32 and the sum of its digits are odd?

The number is 16.


What number is a perfect square that only prime number in its prime factorization is 2 its number is a factor of 32 and its sum of its digits is odd?

16


Explain why a prime number can't be a square number?

Prime numbers have two factors. All square numbers (other than 1) have more than that.


Which outcome is least likely to occur on a single spin 1 an odd number 2 a prime number 3 a perfect square 4 a number divisible by 2?

a perfect square


Can the square root of 65 be simplified?

No. Look at the prime factors of 65: there are no repeated prime factors, therefore this number contains no perfect square.


Is 49x14y18 is a perfect square?

49 x 14 x 18 is not a perfect square. This is because a prime factorization of 49 x 14 x 18 contains 3 sevens. The prime factorization of any perfect square must have an even amount of each prime number.


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.


How can you tell if a number is a perfect square?

One way is to get the prime factorization of the number. If every prime occurs an even number of times, it is a square, otherwise, not. Another is to estimate the square root of the number, and square it. If you get more than the number, try a lower estimate; if less, a higher one. Using interval bisection you very quickly zero in on the square root, if it is a whole number. If so, the number is a perfect square. Otherwise, you find 2 consecutive whole numbers between which is the square root, in which case it is not a perfect square.


What is a square number with a prime number?

No square number can be a prime number and conversely.