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P equal to 2 square 3 square and q square where Q is a prime less than 7 is the prime factorization representation of p.what is the value of p?
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P equal to 2 square 3 square and q square where Q is a prime less than...
Introduction:
In this question, we are given the prime factorization representation of a number p, which is P = 2^2 x 3^2 x q^2, where q is a prime less than 7. We need to find the value of p.
Solution:
To find the value of p, we need to multiply all the factors of P. Therefore, we have:
P = 2^2 x 3^2 x q^2
P = 4 x 9 x q^2
P = 36q^2
Now, we need to find the value of q. We know that q is a prime less than 7. Therefore, we have the following possibilities for q:
q = 2, 3, 5
If q = 2, then P = 36 x 2^2 = 144
If q = 3, then P = 36 x 3^2 = 324
If q = 5, then P = 36 x 5^2 = 900
However, we know that P is a two-digit number since q is a prime less than 7. Therefore, q cannot be 5. Thus, we have two possibilities for P:
P = 144 or P = 324
Conclusion:
Therefore, the value of P is either 144 or 324, depending on the value of q.
In this question, we are given the prime factorization representation of a number p, which is P = 2^2 x 3^2 x q^2, where q is a prime less than 7. We need to find the value of p.
Solution:
To find the value of p, we need to multiply all the factors of P. Therefore, we have:
P = 2^2 x 3^2 x q^2
P = 4 x 9 x q^2
P = 36q^2
Now, we need to find the value of q. We know that q is a prime less than 7. Therefore, we have the following possibilities for q:
q = 2, 3, 5
If q = 2, then P = 36 x 2^2 = 144
If q = 3, then P = 36 x 3^2 = 324
If q = 5, then P = 36 x 5^2 = 900
However, we know that P is a two-digit number since q is a prime less than 7. Therefore, q cannot be 5. Thus, we have two possibilities for P:
P = 144 or P = 324
Conclusion:
Therefore, the value of P is either 144 or 324, depending on the value of q.
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P equal to 2 square 3 square and q square where Q is a prime less than 7 is the prime factorization representation of p.what is the value of p?
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P equal to 2 square 3 square and q square where Q is a prime less than 7 is the prime factorization representation of p.what is the value of p? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about P equal to 2 square 3 square and q square where Q is a prime less than 7 is the prime factorization representation of p.what is the value of p? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for P equal to 2 square 3 square and q square where Q is a prime less than 7 is the prime factorization representation of p.what is the value of p?.
P equal to 2 square 3 square and q square where Q is a prime less than 7 is the prime factorization representation of p.what is the value of p? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about P equal to 2 square 3 square and q square where Q is a prime less than 7 is the prime factorization representation of p.what is the value of p? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for P equal to 2 square 3 square and q square where Q is a prime less than 7 is the prime factorization representation of p.what is the value of p?.
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