Question
Easy
If 52272 = p$^2$ × q$^3$ × r$^4$, where p, q and r are prime numbers, then the value of (2p + q – r) is
1
21
2
22
3
23
4
29
Question Details
Time to Solve: 12
Exam: CTET
Level/Paper: CTET_P2
Chapter: Number Operations
Topic: Prime Factorization
Correct Answer
Option C
Explanation
To determine why Option 3 is the correct answer, we need to factorize the number 52272 into its prime factors and then use these factors to calculate the expression (2p + q – r). ### Step 1: Prime Factorization of 52272 First, let's factorize 52272: 1. Divide by 2 (since 52272 is even): \[ 52272 \div 2 = 26136 \] 2. Divide by 2 again: \[ 26136 \div 2 =…Read More
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