Write the prime numbers between 50 to 100.

Prime numbers are fascinating because they are the building blocks of all natural numbers. A prime number is defined as a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. In simpler terms, a prime number has exactly two distinct positive divisors: 1 and itself. Now, let’s identify the prime numbers between 50 and 100.

Identifying Prime Numbers

To find the prime numbers in the range from 50 to 100, we can systematically check each number to see if it meets the criteria of having only two divisors. The numbers we will examine are:

• 51
• 52
• 53
• 54
• 55
• 56
• 57
• 58
• 59
• 60
• 61
• 62
• 63
• 64
• 65
• 66
• 67
• 68
• 69
• 70
• 71
• 72
• 73
• 74
• 75
• 76
• 77
• 78
• 79
• 80
• 81
• 82
• 83
• 84
• 85
• 86
• 87
• 88
• 89
• 90
• 91
• 92
• 93
• 94
• 95
• 96
• 97
• 98
• 99
• 100

Checking Each Number

Let’s go through the numbers one by one:

• 51: Divisible by 3 and 17.
• 52: Divisible by 2.
• 53: Only divisible by 1 and 53. Prime!
• 54: Divisible by 2 and 27.
• 55: Divisible by 5 and 11.
• 56: Divisible by 2.
• 57: Divisible by 3 and 19.
• 58: Divisible by 2.
• 59: Only divisible by 1 and 59. Prime!
• 60: Divisible by 2.
• 61: Only divisible by 1 and 61. Prime!
• 62: Divisible by 2.
• 63: Divisible by 3 and 21.
• 64: Divisible by 2.
• 65: Divisible by 5 and 13.
• 66: Divisible by 2.
• 67: Only divisible by 1 and 67. Prime!
• 68: Divisible by 2.
• 69: Divisible by 3 and 23.
• 70: Divisible by 2.
• 71: Only divisible by 1 and 71. Prime!
• 72: Divisible by 2.
• 73: Only divisible by 1 and 73. Prime!
• 74: Divisible by 2.
• 75: Divisible by 3 and 25.
• 76: Divisible by 2.
• 77: Divisible by 7 and 11.
• 78: Divisible by 2.
• 79: Only divisible by 1 and 79. Prime!
• 80: Divisible by 2.
• 81: Divisible by 3 and 27.
• 82: Divisible by 2.
• 83: Only divisible by 1 and 83. Prime!
• 84: Divisible by 2.
• 85: Divisible by 5 and 17.
• 86: Divisible by 2.
• 87: Divisible by 3 and 29.
• 88: Divisible by 2.
• 89: Only divisible by 1 and 89. Prime!
• 90: Divisible by 2.
• 91: Divisible by 7 and 13.
• 92: Divisible by 2.
• 93: Divisible by 3 and 31.
• 94: Divisible by 2.
• 95: