The prime factorization of 32 = 25 O True O False

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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**Concept: Prime Factorization**

**Quiz Question:**

The prime factorization of \( 32 = 2^5 \).

- [ ] True
- [ ] False

**Explanation:**
Prime factorization involves expressing a number as the product of its prime numbers. In this case, 32 can be broken down into \( 2 \times 2 \times 2 \times 2 \times 2 \), which simplifies to \( 2^5 \). This statement is true, as the prime factorization is accurately represented.
Transcribed Image Text:**Concept: Prime Factorization** **Quiz Question:** The prime factorization of \( 32 = 2^5 \). - [ ] True - [ ] False **Explanation:** Prime factorization involves expressing a number as the product of its prime numbers. In this case, 32 can be broken down into \( 2 \times 2 \times 2 \times 2 \times 2 \), which simplifies to \( 2^5 \). This statement is true, as the prime factorization is accurately represented.
Expert Solution
Step 1

True 

Explanation: 32 can be written as

32 = 2 × 2 × 2 × 2 × 2 = 25

And 2 is a prime.

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