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If 5005 is expressed in the term of product of price factors, then which prime factor is the largest?
- a)5
- b)11
- c)13
- d)17
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
If 5005 is expressed in the term of product of price factors, then whi...
To express 5005 as the product of price factors, we need to find the prime factorization of 5005.
Prime factorization is the process of breaking down a number into its prime factors, which are the prime numbers that divide the original number without leaving a remainder.
The prime factorization of 5005 can be found by dividing the number by prime numbers until we can no longer divide evenly.
Prime Factorization of 5005:
1. We start by dividing 5005 by the smallest prime number, which is 2. But 5005 is not divisible by 2.
2. Next, we divide 5005 by the next prime number, which is 3. Again, 5005 is not divisible by 3.
3. We continue dividing by the next prime number, which is 5. And we find that 5005 is divisible by 5. 5005 ÷ 5 = 1001.
4. Now we divide 1001 by the next prime number, which is 7. And we find that 1001 is divisible by 7. 1001 ÷ 7 = 143.
5. Finally, we divide 143 by the next prime number, which is 11. And we find that 143 is divisible by 11. 143 ÷ 11 = 13.
We have now reached a prime number, 13, which means that we have found the prime factorization of 5005.
Prime Factorization of 5005: 5 × 7 × 11 × 13
In the prime factorization of 5005, the largest prime factor is 13. Therefore, the correct answer is option C) 13.
Prime factorization is the process of breaking down a number into its prime factors, which are the prime numbers that divide the original number without leaving a remainder.
The prime factorization of 5005 can be found by dividing the number by prime numbers until we can no longer divide evenly.
Prime Factorization of 5005:
1. We start by dividing 5005 by the smallest prime number, which is 2. But 5005 is not divisible by 2.
2. Next, we divide 5005 by the next prime number, which is 3. Again, 5005 is not divisible by 3.
3. We continue dividing by the next prime number, which is 5. And we find that 5005 is divisible by 5. 5005 ÷ 5 = 1001.
4. Now we divide 1001 by the next prime number, which is 7. And we find that 1001 is divisible by 7. 1001 ÷ 7 = 143.
5. Finally, we divide 143 by the next prime number, which is 11. And we find that 143 is divisible by 11. 143 ÷ 11 = 13.
We have now reached a prime number, 13, which means that we have found the prime factorization of 5005.
Prime Factorization of 5005: 5 × 7 × 11 × 13
In the prime factorization of 5005, the largest prime factor is 13. Therefore, the correct answer is option C) 13.
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Community Answer
If 5005 is expressed in the term of product of price factors, then whi...
5005 = 5 × 7 × 11 × 13
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If 5005 is expressed in the term of product of price factors, then which prime factor is the largest?a)5b)11c)13d)17Correct answer is option 'C'. Can you explain this answer?
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If 5005 is expressed in the term of product of price factors, then which prime factor is the largest?a)5b)11c)13d)17Correct answer is option 'C'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about If 5005 is expressed in the term of product of price factors, then which prime factor is the largest?a)5b)11c)13d)17Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 5005 is expressed in the term of product of price factors, then which prime factor is the largest?a)5b)11c)13d)17Correct answer is option 'C'. Can you explain this answer?.
If 5005 is expressed in the term of product of price factors, then which prime factor is the largest?a)5b)11c)13d)17Correct answer is option 'C'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about If 5005 is expressed in the term of product of price factors, then which prime factor is the largest?a)5b)11c)13d)17Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 5005 is expressed in the term of product of price factors, then which prime factor is the largest?a)5b)11c)13d)17Correct answer is option 'C'. Can you explain this answer?.
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