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

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Given the prime factorization of an integer how can you determine if our integer is a perfect square?

4, 16, 64 and many others

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.

16.

16

The number is 16.

16

16 2*16 = 32

16 or 32

That is a very good question. The awnser is quite simple, its a number.

No.

144 is a perfect square, whose square factor is 12: Therefore we simply repeat the prime factorization of 12 (3,2,2) twice: 2,2,2,2,3,3.

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