Divisibility and Divisibility Rules

Learn how to quickly check if a number is divisible by 2, 3, 4, 5, 6, 8, 9, or 10. Let’s get started! 🚀

Divisibility and Divisibility Rules - introduction visual

Video Lesson

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Illustration explaining divisibility using bananas to represent division of 9 by 2 and 3, showing a remainder with 2 and no remainder with 3.Divisibility rules for 2, 4, and 8 showing conditions based on last digits, examples 26, 328, 6160, and their corresponding calculations.Divisibility rules for 3, 9, and 6 showing conditions based on last digits, examples 543, 198, 402, and their corresponding calculations.Showing that numbers are divisible by 5 if the last digit is 0 or 5, and divisible by 10 if the last digit is 0, with examples 415 and 320.

🛎️ What Does Divisible Mean?

  • A number is divisible if it divides exactly with no remainder.
  • For example, 12 ÷ 3 = 4 (divisible), but 13 ÷ 3 = 4 r 1 (not divisible).

🛎️ Divisibility Rules for 2, 4, and 8

  • A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
  • A number is divisible by 4 if the last two digits are divisible by 4.
  • A number is divisible by 8 if the last three digits are divisible by 8.

🛎️ Divisibility Rules for 3, 6, and 9

  • A number is divisible by 3 if the sum of its digits is divisible by 3.
  • A number is divisible by 6 if it is divisible by both 2 and 3.
  • A number is divisible by 9 if the sum of its digits is divisible by 9.

🛎️ Divisibility Rules for 5 and 10

  • A number is divisible by 5 if the last digit is 0 or 5.
  • A number is divisible by 10 if the last digit is 0.

Practice Questions

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Interactive Activity

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