Divisibility by 3 Rules

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5 Questions

Bir sayı 3'e bölünebilir ise, Sayı 3'e bölünebilir.

False

Bir sayının rakamlarının toplamı 3'e bölünebilir ise, sayı 3'e bölünebilir.

True

Bir sayının ters sırada rakamlarının oluşturduğu sayı 3'e bölünebilir ise, sayı 3'e bölünebilir.

True

Bu kurallar tüm sayılar için geçerlidir.

False

Bu kurallar tüm sayılar için kesin bir yol sağlar.

False

Study Notes

Rules for Divisibility by 3

A number is divisible by 3 if:

  • The sum of its digits is divisible by 3
    • This is known as the "digit sum" or "digital root" method
    • Example: 123 is divisible by 3 because 1 + 2 + 3 = 6, which is divisible by 3
  • The number formed by its digits in reverse order is divisible by 3
    • Example: 123 is divisible by 3 because 321 is divisible by 3

Examples

  • 12 is divisible by 3 because 1 + 2 = 3
  • 15 is divisible by 3 because 1 + 5 = 6, which is divisible by 3
  • 36 is divisible by 3 because 3 + 6 = 9, which is divisible by 3

Note

  • These rules can be applied to whole numbers only
  • These rules are not foolproof and may not work for all numbers. However, they provide a quick and efficient way to check for divisibility by 3 in most cases.

Learn how to determine if a number is divisible by 3 using the digit sum method and reverse digits method. Understand the rules and examples to quickly check for divisibility.

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