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Questions and Answers
What is the condition for a number to be divisible by 3?
Which of the following numbers is divisible by 6?
What is the condition for a number to be divisible by 9?
What are the common factors of 12 and 15?
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What is the prime factorization of 24?
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What is the purpose of prime factorization?
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Study Notes
Divisibility Rules
Divisibility Rule Of 3
- A number is divisible by 3 if the sum of its digits is divisible by 3.
- Example: 123 is divisible by 3 because 1 + 2 + 3 = 6, which is divisible by 3.
Divisibility Rule Of 6
- A number is divisible by 6 if it is divisible by both 2 and 3.
- A number is divisible by 2 if it ends in 0, 2, 4, 6, or 8.
- Combine the rules for 2 and 3 to check for divisibility by 6.
Divisibility Rule Of 9
- A number is divisible by 9 if the sum of its digits is divisible by 9.
- Example: 918 is divisible by 9 because 9 + 1 + 8 = 18, which is divisible by 9.
Finding Common Factors
- To find common factors, list the factors of each number and identify the common factors.
- Example: Find the common factors of 12 and 15.
- Factors of 12: 1, 2, 3, 4, 6, 12
- Factors of 15: 1, 3, 5, 15
- Common factors: 1, 3
Prime Factorization
- Prime factorization is the process of expressing a number as a product of prime numbers.
- Example: Find the prime factorization of 24.
- 24 = 2 × 2 × 2 × 3
- Prime factors: 2, 2, 2, 3
Divisibility Rules
Divisibility Rule Of 3
- A number is divisible by 3 if the sum of its digits is divisible by 3.
- This rule can be applied to any number, regardless of its size.
Divisibility Rule Of 6
- A number is divisible by 6 if it is divisible by both 2 and 3.
- To check for divisibility by 6, apply the rules for 2 and 3 separately.
- A number is divisible by 2 if it ends in 0, 2, 4, 6, or 8.
- Combine the rules for 2 and 3 to check for divisibility by 6.
Divisibility Rule Of 9
- A number is divisible by 9 if the sum of its digits is divisible by 9.
- This rule can be applied to any number, regardless of its size.
Finding Common Factors
- To find common factors, list the factors of each number and identify the common factors.
- This method can be applied to find common factors of any two numbers.
Prime Factorization
- Prime factorization is the process of expressing a number as a product of prime numbers.
- This method can be applied to find the prime factors of any number.
- The prime factors of a number are the prime numbers that multiply together to give the original number.
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Description
Learn the rules to determine if a number is divisible by 3, 6, or 9. Understand how to apply the rules to check for divisibility.
