Class 6 Exam > Class 6 Questions > What is the prime factorization of 60?a)2 &ti...
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What is the prime factorization of 60?
- a)2 × 3 ×10
- b)2 × 5 × 6
- c)2 × 2 × 3 × 5
- d)3 × 5 × 4
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
What is the prime factorization of 60?a)2 × 3 ×10b)2 &time...
Understanding Prime Factorization
Prime factorization is the process of expressing a number as the product of its prime factors. A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.
Finding the Prime Factorization of 60
To factorize 60, we can start by dividing it by the smallest prime number, which is 2.
- 60 ÷ 2 = 30 (2 is a prime factor)
- 30 ÷ 2 = 15 (2 is again a prime factor)
- 15 ÷ 3 = 5 (3 is a prime factor)
- 5 ÷ 5 = 1 (5 is a prime factor)
Now, we have expressed 60 as a product of prime factors:
Prime Factors of 60
- 2 (from the first division)
- 2 (from the second division)
- 3 (from the third division)
- 5 (from the fourth division)
Hence, the prime factorization of 60 is:
Final Expression
- 60 = 2 × 2 × 3 × 5
This can also be written as:
- 60 = 2² × 3 × 5
Conclusion
- Among the options given, option 'C' (2 × 2 × 3 × 5) correctly represents the prime factorization of 60.
- The other options do not consist solely of prime factors, making option 'C' the correct answer.
Prime factorization is the process of expressing a number as the product of its prime factors. A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.
Finding the Prime Factorization of 60
To factorize 60, we can start by dividing it by the smallest prime number, which is 2.
- 60 ÷ 2 = 30 (2 is a prime factor)
- 30 ÷ 2 = 15 (2 is again a prime factor)
- 15 ÷ 3 = 5 (3 is a prime factor)
- 5 ÷ 5 = 1 (5 is a prime factor)
Now, we have expressed 60 as a product of prime factors:
Prime Factors of 60
- 2 (from the first division)
- 2 (from the second division)
- 3 (from the third division)
- 5 (from the fourth division)
Hence, the prime factorization of 60 is:
Final Expression
- 60 = 2 × 2 × 3 × 5
This can also be written as:
- 60 = 2² × 3 × 5
Conclusion
- Among the options given, option 'C' (2 × 2 × 3 × 5) correctly represents the prime factorization of 60.
- The other options do not consist solely of prime factors, making option 'C' the correct answer.
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Community Answer
What is the prime factorization of 60?a)2 × 3 ×10b)2 &time...
To find the prime factorization of 60, we break it down into its smallest prime factors:
- 1. 60 is divisible by 2 (smallest prime number):60/2=30
- 2. 30 is also divisible by 2: 30/2=15
- 3. 15 is divisible by 3: 15/3=5
- 4. 5 is already a prime number.
Thus, the prime factorization of 60 is 2 × 2 × 3 × 5.
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What is the prime factorization of 60?a)2 × 3 ×10b)2 × 5 × 6c)2 × 2 × 3 × 5d)3 × 5 × 4Correct answer is option 'C'. Can you explain this answer? for Class 6 2025 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about What is the prime factorization of 60?a)2 × 3 ×10b)2 × 5 × 6c)2 × 2 × 3 × 5d)3 × 5 × 4Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 6 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the prime factorization of 60?a)2 × 3 ×10b)2 × 5 × 6c)2 × 2 × 3 × 5d)3 × 5 × 4Correct answer is option 'C'. Can you explain this answer?.
What is the prime factorization of 60?a)2 × 3 ×10b)2 × 5 × 6c)2 × 2 × 3 × 5d)3 × 5 × 4Correct answer is option 'C'. Can you explain this answer? for Class 6 2025 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about What is the prime factorization of 60?a)2 × 3 ×10b)2 × 5 × 6c)2 × 2 × 3 × 5d)3 × 5 × 4Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 6 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the prime factorization of 60?a)2 × 3 ×10b)2 × 5 × 6c)2 × 2 × 3 × 5d)3 × 5 × 4Correct answer is option 'C'. Can you explain this answer?.
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