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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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Technically, you can't. You can find the prime factors of a number. If you compare those prime factors to the prime factors of another number, you will see if they have any prime factors in common.

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

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.

Square numbers have too many factors to be prime.

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.

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.

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

A square of a prime.

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.

There is not a number that is square, even, and prime. A prime number is a number with two and only two factors: 1 and itself. The only even prime number is 2, because all other even numbers are, by definition, divisible by 2, which means they have more than two factors and thus cannot be prime. A square number is the product of multiplying a number by itself, so the number which is multiplied by itsefl to create a square number is a factor of that number, meaning it has more than two factors, so it cannot be prime. A prime number cannot be even (except for the number 2) and cannot be a square number. A square number can be an even number, but can also be an odd number.

The square of a prime number.

There is no three digit prime number whose square root is a prime number. Prime numbers have no factors other than 1 and themselves. Any number having a prime number as a square root is a composite number.

No. Look at the prime factors of 65: there are no repeated prime factors, therefore this number contains no perfect square.

4,9,25. Any square with a prime number as its root.

No, a prime number can't be a square number. The definition of primes says that a prime number can only have 1 and itself as positive factors. For example, 13 only has two factors - 1 and 13. A square number is a number multiplied by itself, so it has an additional factor. For example, 9 has three factors - 1, 3, and 9.

A prime square

Square it.

Any square of a prime number.

If it's a square of a prime number.

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

A number has exactly three factors if and only if it is the square of a prime number.

Assuming you want all factors of a number: 1) Split a number into prime factors. 2) Combine the prime factors in all possible ways. To get the prime factors, you can systematically try out dividing the number by prime numbers, up to the number's square root (once the square of the prime number you try out is greater than the original number, you need not continue). For example, to find out prime factors of numbers up to 120, you only need to try dividing by 2, 3, 5, 7.

No. A prime number is divisible only by itself and 1. Squares have other factors.

For numbers to be relatively prime, there needs to be two or more numbers to compare their factors.

A prime square.