How many elements are sets of even prime numbers? A. One B. Two C. Three D. Four
Hint: To answer this question we have to have knowledge of prime numbers as well as even numbers then we will be able to answer how many elements a set of even prime numbers contains.
Complete step-by-step answer: Now we will understand even number and prime number Even number: Any number that can be easily divided by 2 is called an even number. Even numbers always end up with the last digits as 0, 2, 4, 6, 8. Some examples of even numbers are 2, 4, 6, 8, 10, 12, 14, 16. Prime number: Prime numbers are numbers which have exactly two factors : 1 and themselves. For example the first 5 prime numbers are 2, 3, 5, 7 and 11. By contrast, numbers with more than two factors are called composite numbers. Even prime number: The only even prime number is 2. All other even numbers can be divided by 2 so other even numbers will have three factors as 1 , 2 and themselves so there is only one even prime number. Hence option A is the correct option.
Note: Whenever we get this type of question the key concept of solving is we have to take examples of prime numbers and check which is even then we will understand 2 is only one even prime number.