Answer :

To determine whether the number 185 is prime, we need to understand what a prime number is. A prime number is a natural number greater than 1 that has no divisors other than 1 and itself. This means a prime number can be divided exactly only by 1 and the number itself without leaving a remainder.

Let's test if 185 is a prime number:

1. Check divisibility by small prime numbers:
- Start with 2: 185 is an odd number, so it's not divisible by 2.
- Check 3: The sum of the digits of 185 is 1 + 8 + 5 = 14, which is not divisible by 3.
- Check 5: A number ending in 0 or 5 is divisible by 5. Since 185 ends in 5, it is divisible by 5.

2. Verify division by 5:
- Divide 185 by 5:
- [tex]\( 185 \div 5 = 37 \)[/tex].
- The quotient is 37, and there is no remainder.

Since 185 can be divided exactly by 5 (and since 185 is more than just 1 and itself), 185 has divisors other than 1 and itself. This means that 185 is not a prime number.

Therefore, the answer to whether 185 is a prime number is No.

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Rewritten by : Barada