Class 10 Exam > Class 10 Questions > P equal to 2 square 3 square and q square whe...
Start Learning for Free
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?
Most Upvoted Answer
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.
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
|
Explore Courses for Class 10 exam
|
|
Top Courses for Class 10View all
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?
Question Description
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?.
Solutions 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? in English & in Hindi are available as part of our courses for Class 10.
Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of 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? defined & explained in the simplest way possible. Besides giving the explanation of
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?, a detailed solution 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? has been provided alongside types of 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? theory, EduRev gives you an
ample number of questions to practice 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? tests, examples and also practice Class 10 tests.
|
|
Explore Courses for Class 10 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup