Question
Prime numbers lect the prime numbers from this set: \( (7,8,9,11,12,13,14,15,18,19,20,21,23,24,25,26,28,29,31,32,34,35,3 \) \( 38,39,42,43,44,45,46,47,48,49) \)
Ask by Munoz Chan. in South Africa
Jan 13,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The prime numbers in the set are 3, 7, 11, 13, 19, 23, 29, 31, 43, and 47.
Solution
Sure! Let's identify the prime numbers from the provided set:
**Given Set:**
\(7, 8, 9, 11, 12, 13, 14, 15, 18, 19, 20, 21, 23, 24, 25, 26, 28, 29, 31, 32, 34, 35, 3, 38, 39, 42, 43, 44, 45, 46, 47, 48, 49\)
**Prime Numbers:**
A **prime number** is a natural number greater than 1 that has no positive divisors other than 1 and itself.
From the given set, the prime numbers are:
- **3**
- **7**
- **11**
- **13**
- **19**
- **23**
- **29**
- **31**
- **43**
- **47**
**List of Prime Numbers:**
\[3, 7, 11, 13, 19, 23, 29, 31, 43, 47\]
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg
Explain 
Simplify this solution The Deep Dive
Prime numbers are the rockstars of the number world—those illegitimate numbers that have exactly two distinct positive divisors: 1 and themselves. From your set, the prime numbers to pull out are \( 7, 11, 13, 19, 23, 29, 31, 43, 47 \). They’re like the exclusive club in a number sense! Now, if you ever find yourself in a situation where you need to identify prime numbers, just remember that you can’t divide them evenly by any other number except for 1 and themselves. So, if you ever doubt a number's primality, try dividing it by smaller prime numbers. If none divide it evenly, congratulations! It's a prime gem!
