well there is know really prime numbers for 7 and goes around 4 in a perfect square so you juss have to think about it what #s multiply or are divisible by 7 and 4? 7 14 and 21 what is prime or composite by 21 21 1 3 7 and 21 stop at 3 3 6 9 12 what is prime for 4 x 12 .4 x 12 is 48 so 4 is prime for 48 its simple as pie.so now think pie a pie is divided by lets say 10 what is divisible by 10 well skip count 10 20 30 40 40 starts with 4 so now 4x 0 is 0 what is composite for 0 0 is composite for 0 so nothing u have no more to multiply by!there you go hoped you enjoyed whatever ppl u are
1 is not considered a prime number; 1 is a perfect square.
3 is prime, 1 less than the perfect square of 4 (2x2)
because it needs to be a prime number and it has to be simplified
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.
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.
No.
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.
1 is not considered a prime number; 1 is a perfect square.
No. A prime number is always odd.
3 is prime, 1 less than the perfect square of 4 (2x2)
16
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.
because it needs to be a prime number and it has to be simplified
No, it's a perfect square 73 * 73.
That is correct.
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.
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.