List the prime numbers between 20 and 40 . Round off each of these prime numbers to the nearest 10 . Add all these prime numbers together. Is this total numbe prime number?

Sure, let's go through each step of your request: ### 1. **List of Prime Numbers Between 20 and 40** Prime numbers are numbers greater than 1 that have no positive divisors other than 1 and themselves. The prime numbers between 20 and 40 are: - **23** - **29** - **31** - **37** ### 2. **Rounding Each Prime Number to the Nearest 10** - **23** → **20** (Since 23 is closer to 20 than to 30) - **29** → **30** (Since 29 is closer to 30 than to 20) - **31** → **30** (Since 31 is closer to 30 than to 40) - **37** → **40** (Since 37 is closer to 40 than to 30) ### 3. **Adding the Rounded Numbers Together** \[ 20 + 30 + 30 + 40 = 120 \] ### 4. **Is the Total Number (120) a Prime Number?** No, **120** is **not** a prime number. **Reason:** A prime number has exactly two distinct positive divisors: 1 and itself. 120 has multiple divisors, including: - 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, and 120. Since 120 has more than two divisors, it is a composite number, not a prime number. ### **Summary** - **Prime Numbers Between 20 and 40:** 23, 29, 31, 37 - **Rounded to Nearest 10:** 20, 30, 30, 40 - **Total Sum:** 120 - **Is 120 Prime?** No