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How do you find whether a number is a perfect square by using its prime factors?

Updated: 11/1/2022

Wiki User

10y ago

In the prime factorisation of the number, each factor must appear an even number of times.

In the prime factorisation of the number, each factor must appear an even number of times.

In the prime factorisation of the number, each factor must appear an even number of times.

In the prime factorisation of the number, each factor must appear an even number of times.

Wiki User

10y ago

Wiki User

10y ago

In the prime factorisation of the number, each factor must appear an even number of times.

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Q: How do you find whether a number is a perfect square by using its prime factors?
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Related questions

What are the factors of a perfect square?

It depends on the number that it is a perfect square of!

What type of factor has an odd number of factors?

A perfect square has an odd number of factors.

What type of number has an odd number of factors?

A perfect square has an odd number of factors. Factors of numbers always come in pairs -- except for perfect squares. Since the square root of a perfect square is listed only once on the list of factors, it results in a list with an odd number of factors.

What is a number called with an odd numbers of factors?

A square number or a perfect square.

What type of number has odd number of factors?

A perfect square.

What is a number that has an odd number of factors?

if a number has an odd number of factors it would be a perfect square

What is a number that has odd number of factors?

if a number has an odd number of factors it would be a perfect square

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.

a perfect square

What type of number has an odd number factors?

A perfect square.

What type of a number has an odd number of factors?

A perfect square.

What time of number has a odd number of factors?

A perfect square.