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The total count of prime numbers less than 50 is:
17
15
14
13
15
Memorize the count of primes in each decade: 2-10 (4), 11-20 (4), 21-30 (2), 31-40 (3), 41-50 (2). Total = 4 + 4 + 2 + 3 + 2 = 15.
Range of numbers: less than 50
Prime numbers p∈[2,49]
Memorize the count of primes in each decade: 2-10 (4), 11-20 (4), 21-30 (2), 31-40 (3), 41-50 (2). Total = 4 + 4 + 2 + 3 + 2 = 15.
Students often include 1 or 50 as prime numbers, or miss 2 (even prime).
Define Prime Numbers
A prime number is a whole number greater than 1 whose only divisors are 1 and itself.
Primes p>1
List Primes Below 50
Listing all prime numbers from 2 to 49: 2,3,5,7,11,13,17,19,23,29,31,37,41,43,47.
2,3,5,7,11,13,17,19,23,29,31,37,41,43,47
Count the Primes
Counting the total number of elements in the list gives 15 prime numbers.
Total count=15
B is correct because the total number of prime numbers less than 50 is exactly 15.
Knowing prime counts and prime factorization up to 100 helps quickly solve HCF, LCM, and modular arithmetic problems.
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