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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.

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

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

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

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.

The same number is multiplied with itself to form a perfect square i.e. a perfect square has real and repeated equal numbers as factors.

You can tell whether a number is a square number by looking at the last digit. A perfect square number ends with either 1, 4, 5, 6, 9 or 00.

A perfect square.

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

A perfect square 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.

A square number or a perfect square.

A perfect square.

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

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

A perfect square.

A perfect square.

A perfect square.