Study Guides/Maths/Prime Numbers from 1 to 50
Study Guide · Maths

List of Prime Numbers from 1 to 50

A prime number is a whole number greater than 1 whose only divisors are 1 and itself. Memorising the prime numbers from 1 to 50 is extremely helpful for math calculations, LCM, HCF, and aptitude tests.

Question (Click to Flip)

How many prime numbers are there from 1 to 100?

Answer

There are exactly 25 prime numbers between 1 and 100.

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Key Facts

The Sieve of Eratosthenes is an ancient Greek algorithm for finding all prime numbers up to any given limit. It involves writing down all numbers and crossing out multiples of 2, then multiples of 3, 5, etc.

The Complete List

There are exactly 15 prime numbers between 1 and 50. They are:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47

Key Properties to Remember

  • 2 is the smallest prime number.
  • 2 is the ONLY even prime number. All other prime numbers are odd. (But not all odd numbers are prime, e.g., 9, 15, 21 are not prime).
  • 1 is NOT a prime number. (By definition, a prime number must have exactly two distinct factors. The number 1 only has one factor: itself).
  • Two consecutive odd numbers that are both prime are called Twin Primes (e.g., 3 and 5; 11 and 13; 41 and 43).

How to check if a number is prime?

To check if a number less than 50 is prime, you only need to try dividing it by the primes up to its square root (so, divide by 2, 3, 5, and 7). If none of these divide it evenly, it is a prime number.

Questions and Answers

How many prime numbers are there from 1 to 100?+

There are exactly **25** prime numbers between 1 and 100.

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