The odd one out from the sequence of numbers 19 23 29 37 43 46 47 is

Options

A. 23
B. 46
C. 37
D. 19

Answer

To find the odd one out from the sequence of numbers 19, 23, 29, 37, 43, 46, and 47, we will analyze each number to determine if it is a prime number or not.

### Step-by-Step Solution:

1. **Identify the Numbers in the Sequence:**
The numbers given are: 19, 23, 29, 37, 43, 46, and 47.

2. **Define Prime Numbers:**
A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. In other words, a prime number has exactly two distinct positive divisors: 1 and itself.

3. **Check Each Number for Primality:**
- **19:** Divisors are 1 and 19. (Prime)
- **23:** Divisors are 1 and 23. (Prime)
- **29:** Divisors are 1 and 29. (Prime)
- **37:** Divisors are 1 and 37. (Prime)
- **43:** Divisors are 1 and 43. (Prime)
- **46:** Divisors are 1, 2, 23, and 46. (Not Prime)
- **47:** Divisors are 1 and 47. (Prime)

4. **Identify the Odd One Out:**
From the analysis, we see that all numbers except 46 are prime numbers. Therefore, 46 is the only number in the sequence that is not a prime number.

5. **Conclusion:**
The odd one out from the sequence is **46**.