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Q: Can you Compare the number of factors of a prime number to the number of factors of a square number?

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If it's a square of a prime number.

A prime square.

Prime squares have three factors: the number, the square root and one.

Any square of a prime number. For example, 5*5 = 25 has the factors 1, 5, 25. If you square any other prime number, call it "p", the factors of the result are 1, p, p square.

No there is not. If you are looking for prime factors of a number and you get to the square root of that number you can stop. Yes, there is. If an integer is not itself a prime, then one of its factors will be less or equal to its square root and the "co-factor" will be greater than or equal to the square root. But both cannot be greater than the square root so, when searching for factors, you can stop when you reach the square root.

Related questions

The prime factors of a squared number are the prime factors, if any, of its square root.

Square numbers have too many factors to be prime.

The square of any prime number has only three factors. Example: 121 is the square of 11, a prime number. The only factors of 121 are 1, 11, and 121 itself.

A square of a prime.

The square of a prime number.

To find out if a number is a square number, find its prime factors and check if all prime factors duplicate. In this example, the prime factors are: 2,2,5,5,5,5 We can see that all numbers are duplicates, and can be paired up. So 2500 is a square number of 2x5x5 or 50.

The square of any prime number has exactly 3 factors. They are: 1). 1 2). the number itself 3). the prime number which is its square-root

A prime square

Square it.

Any square of a prime number.

If it's a square of a prime number.

68 is a composite number because it has more than two factors and it is not a prime or a square number

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