Question
Find the nondistinct prime factors of 12.
Ask by Mckenzie Wheeler. in South Africa
Feb 03,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The non-distinct prime factors of 12 are 2, 2, and 3.
Solution
The non-distinct prime factors of **12** are:
- **2**
- **2**
- **3**
**Explanation:**
To find the non-distinct prime factors of 12, we perform its prime factorization:
1. **12** can be divided by **2** (the smallest prime number):
- \( 12 ÷ 2 = 6 \)
2. **6** can again be divided by **2**:
- \( 6 ÷ 2 = 3 \)
3. **3** is a prime number and cannot be divided further.
So, the prime factors of 12, considering their multiplicity, are **2, 2, and 3**.
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Simplify this solution Bonus Knowledge
The prime factorization of 12 is 2 × 2 × 3, which means the prime factors of 12 are 2 and 3, but since you're looking for nondistinct prime factors, we count the prime factors with their multiplicity. Thus, the nondistinct prime factors of 12 are 2, 2, and 3! If you're ever in a jam and need to find prime factors quickly, try breaking down the number step-by-step by dividing it by the smallest prime numbers first, starting from 2. Just remember that 1 isn’t a prime and stop when you reach a prime number that can’t be divided anymore! It’s a fun puzzle!
