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What is the third smallest natural number that has exactly four distinct positive factors?
3
What is the lowest prime number?
The lowest prime number is two, because it is the smallest integer that divides by 1 and by itself and not by a third integer. You see, a prime number is a number that only has two factors, one and itself. Many people think one is the smallest prime number but no it isn't. It only has one factor not two factors so it is a perfect number. a prime has exactly two factors.
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.
Find 3 consecutive even integers if the product of the first integer and two two less than the second integer is four more than five times the third integer and what is the let statement?
The let statement is: let the smallest of the three integers be x.
What is the difference between factors and prime factors?
A factor of a integer is an integer that divides the second integer into a third integer exactly; i.e. A is a factor of B if B/A is exactly C, where all of A, B and C are integers. A prime factor is a factor as above, but is also a prime number. This means that the only factors of that factor are one and the number itself; i.e. A is a prime factor of B if B/A is exactly C andthe only factors of A are 1 and A.
What is the third Spain's smallest city?
Sevilla is Spain's third smallest city.
Is one third an integer?
1/3 is not an integer, and there is no such thing as an interger. An integer is a whole number.
Is the middle kingdom the smallest?
No, Its third smallest.
What is the third smallest taxon in the linnaean system?
The third smallest in his system is Family.
What is the third smallest state in the US?
Connecticut is the third smallest state in the United States
Is Dublin the smallest county?
No. Louth is the smallest, Carlow is the second smallest and Dublin is the third smallest.
What is the second third and fourth smallest continent?
2nd smallest - Europe 3rd smallest - Antarctica 4th smallest - South America
