Points to remember
  • A prime number has only two factors (1 and the number itself). For example: 2, 3, 5, 7, ............. 97.
  • The prime numbers less than 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.
  • 3, 5, 7 is known as prime triplet.
  • The prime number with a difference of 2 are known as twin primes. For example: 3, 5; 5, 7; 11, 13; 17, 19; 29, 31; 41, 43; 59, 61 and 71, 73.
  • There are 8 pairs of twin primes below 100.
  • There are 25 prime numbers below 100.
  • Every composite number can be written as the product of two or more (not necessarily distinct) primes.
  • There are certain prime numbers whose digits when reversed are also form a prime number.
    For example: 13, 31; 17, 71; 37, 73; 79, 97.
    The sum of these pairs of numbers are multiple of 11.
    13 + 31 = 44
    17 + 71 = 88
    37 + 73 = 110
    79 + 97 = 176
  • The smallest even composite number is 4.
  • The smallest odd composite number is 9.
  • The smallest two digit odd prime number is 11.
  • The largest two digit odd prime number is 97
  • The number of composite numbers from 1 to 100 are 74 (1 is excluded as it is neither a prime nor a composite number)
  • The number of composite numbers between 1 and 100 are 73.
  • The last two digit composite number is 99.
  • The smallest single digit composite number is 4.
  • The largest single digit composite number is 9.
  • The only even prime is 2.
  • The first odd prime number is 3.