Question
Easy
If 21168 = 2$^a$ ├Ч 3$^b$ ├Ч 7$^c$, where a, b and care natural numbers, then what is the value of (4a тАУ 5b + c) ?
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Question Details
Time to Solve: 12
Exam: CTET
Level/Paper: CTET_P2
Chapter: Number Operations
Topic: Prime Factorization
Correct Answer
Option D
Explanation
To determine the value of \(4a - 5b + c\) given that \(21168 = 2^a \times 3^b \times 7^c\), we need to find the prime factorization of 21168. 1. Prime Factorization of 21168: - Divide 21168 by 2 (the smallest prime number): \[ 21168 \div 2 = 10584 \] - Divide 10584 by 2: \[ 10584 \div 2 = 5292 \] - Divide 5292 by 2: \[ 5292 \div 2тАжRead More
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