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Answer
The factors of 32 are 1, 2, 4, 8, 16, and 32.
Solution
Certainly! To find all the factors of the number **32**, we look for integers that divide **32** without leaving a remainder.
### Step-by-Step Process:
1. **Start with 1 and the number itself:**
- **1** is a factor of every integer.
- **32** is a factor of itself.
2. **Check for other divisors:**
- **2:** \( 32 \div 2 = 16 \) → **2** and **16** are factors.
- **4:** \( 32 \div 4 = 8 \) → **4** and **8** are factors.
3. **List all unique factors:**
- **1, 2, 4, 8, 16, 32**
### **All 6 Factors of 32:**
1. **1**
2. **2**
3. **4**
4. **8**
5. **16**
6. **32**
Each of these numbers divides **32** evenly without leaving a remainder.
### **Verification:**
- \( 32 \div 1 = 32 \)
- \( 32 \div 2 = 16 \)
- \( 32 \div 4 = 8 \)
- \( 32 \div 8 = 4 \)
- \( 32 \div 16 = 2 \)
- \( 32 \div 32 = 1 \)
All divisions result in whole numbers, confirming that these are indeed the factors of **32**.
Reviewed and approved by the UpStudy tutoring team
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Sure thing! The factors of 32 are the numbers that can evenly divide it without leaving a remainder. So, let’s break it down: 1, 2, 4, 8, 16, and 32 itself are all factors. Pretty neat, right? Now, did you know that 32 is also a power of 2? Specifically, it’s 2 raised to the 5th power (2^5). This means that 32 is not just any number; it's a building block in the world of binary systems and computer science since many calculations rely on powers of 2. How cool is that?
