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prime squares
Wiki User
∙ 8y ago
Wiki User
∙ 8y agoPrime squares
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What are the divisors of 11?
Since 11 is a prime number, its only divisors are 1 and itself.
What are the divisors of 543?
There are eight divisors of 54: 1, 2, 3, 6, 9, 18, 27, 54.
What is the greatest common divisor of 132?
You need at least two numbers to find a GCF.
What number only have three factors?
squares of prime numbers
What has excatly 3 factors?
Squares of prime numbers are the only numbers with three factors, since there must be only one nontrivial divisor for a number to have three factors. That number must thus be prime.
Why are perfect numbers perfect?
A perfect number is only classified as a perfect number because all of its proper divisors add up to itself. For example, the proper divisors of six are one, two and three. Those numbers added together equal six. Therefore, six is a perfect number.
How do you find all positive integers N such that the product 2029 x N has exactly three divisors?
There is only 1 value of N that satisfies 2029 x N has exactly three divisors: N = 2029 To have exactly three divisors, the number must be the square of a prime number. 2029 is a prime number with exactly 2 divisors (1 and 2029). Thus the only number with exactly three divisors of which two are 1 and 2029 is 20292 (= 4116841), making N = 2029.
What numbers go into the number 61?
61 is a prime number. Its only divisors are 1 and 61.
Which numbers go into 59?
59 is a prime number. 1 and 59 are the only divisors of 59.
Why does 1 not count as a prime number?
Prime numbers have two and only two divisors. The number 1 only has one.
Are all prime numbers imperfect?
yes. The only divisors of a prime number are itself and 1. Without counting the prime number, the sum of it's divisors is always 1.
What numbers have exactly 5 divisors?
16,81,12 well thats only i know
What is a number less than 1 whose only divisors are 1 and itself?
There are no numbers that fit your description.
What numbers have exactly 3 divisors?
An integer (call it 'x') has exactly 3 divisors if and only if it is the square of a prime number. In other words, to generate a list of integers with exactly 3 divisors, just keep squaring prime numbers. A number with 3 divisors cannot be prime (a prime number has only 2 divisors, 1 and itself). So it must be a composite number, which is a number that can be factored as a product of prime numbers (Fundamental Theorem of Arithmetic) -- i.e. a composite number must have at least one prime divisor. In the case where the number has only 3 divisors, two of them are 1 and the number itself (neither of which are prime). Therefore the third divisor must be a prime number. So the three divisors of 'x' are: 1, p, x where p is prime. Now since p is a divisor (or factor) of x, and the only other divisor besides 1 and x itself, x must equal p*p -- or x=p^2 . Obvious x can't equal p*x and if x = p*1, x=p so x is prime, or has only 2 divisors... If x = p^(3) , then x = p*p* p , or p*(p^2) ... this means that p^2 would also have to be a divisor of x, and this would contradict with x having only 3 divisors. For the same reason, x = p^(greater than 3) is also not possible. So the only possibility is that an integer with exactly 3 divisors is the square of a prime number "p". The divisors are 1, p, and p^2. I'm sure there's a simpler, more elegant way of explaining this, but it should be clear enough.
What numbers go into 18 and 14?
Only 2 goes into both 18 and 14. The prime divisors of 14 are 2 and 7. The prime divisors of 18 are 2, 3, and 3. The only common divisor is 2.
What is the divisor of 3?
Three is a prime number so its only divisors (factors) are 1 and itself.
Why 89 is a prime number?
The only numbers which divide into 89 exactly are 1 and 89. These are called factors or divisors. Any number which has exactly 2 divisors (1 and the number itself) is a prime number.
