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Prime numbers have two factors. Prime squares have three factors. Square numbers have an odd number of factors but that number varies.

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โˆ™ 2012-07-01 05:55:57
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Algebra

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A polynomial of degree zero is a constant term

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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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Related questions

How do you find the common primes of a number?

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.


How do you find the prime factors of a squared number?

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


What is the square of a prime number?

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.


Why a number cannot be both a prime number and a square number.?

Square numbers have too many factors to be prime.


If a number has an odd number of factors is it 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.


Is 2500 a square 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.


Is 68 a prime number is it a square number Maths?

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


A number that has three factors?

A square of a prime.


What number only has three factors?

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.


What is a square even and prime number?

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.


A number with exactly 3 factors?

The square of a prime number.


What is the largest 3 digit prime number whose square root is 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.


Can the square root of 65 be simplified?

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


What square number has only three factors?

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


Can a prime number be a square number?

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.


What is a number with 3 factors is called?

A prime square


What do you do to a prime number to make it have 3 factors?

Square it.


What is the name of a number with three factors?

Any square of a prime number.


How do you know that a number has three factors?

If it's a square of a prime number.


What type of number has an odd number of factors and what are they?

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


What numbers with exactly 3 factors are?

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


What strategy do you use to find factors?

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.


Can a number be both prime and square?

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


Is 71 a relative prime number?

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


What kind of number has exactly three factors?

A prime square.