Divisibility Rules in Maths for Class 5

Divisibility by 2:

• Definition: If the last digit of a number is even (0, 2, 4, 6, 8), then the number is divisible by 2.
• Examples:
  • 24 is divisible by 2 because the last digit is 4.
  • 102 is divisible by 2 because the last digit is 2.

• Divisibility by 3:

  • Definition: If the sum of a number's digits is divisible by 3, then the number itself is divisible by 3.
  • Examples:
    • 123 is divisible by 3 because 1 + 2 + 3 = 6, which is divisible by 3.
    • 363 is divisible by 3 because 3 + 6 + 3 = 12, which is divisible by 3.

• Divisibility by 4:

  • Definition: If the last two digits of a number form a multiple of 4, then the entire number is divisible by 4.
  • Examples:
    • 148 is divisible by 4 because 48 is a multiple of 4.
    • 256 is divisible by 4 because 56 is a multiple of 4.

• Divisibility by 5:

  • Definition: If the last digit of a number is either 0 or 5, then the number is divisible by 5.
  • Examples:
    • 125 is divisible by 5 because the last digit is 5.
    • 320 is not divisible by 5 because the last digit is not 0 or 5.

• Divisibility by 6:

  • Definition: A number is divisible by both 2 and 3 if it meets the criteria for divisibility by both.
  • Examples:
    • 210 is divisible by 6 because it's divisible by both 2 and 3.
    • 312 is not divisible by 6 because it's not divisible by both 2 and 3.

• Divisibility by 7 to 20:

  • The rules for these numbers are more complex and may involve long division, checking for factors, or using specific patterns. Examples for these rules might be more involved and may require further explanation or computation.
    
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