QuestionAugust 24, 2025

MTH 01.40D Classify 57 as a prime or not a prime number. Prime Not prime

MTH 01.40D Classify 57 as a prime or not a prime number. Prime Not prime
MTH 01.40D Classify 57 as a
prime or not a prime number.
Prime
Not prime

Solution
4.1(237 votes)

Answer

Not prime Explanation 1. Define a Prime Number A prime number has only two distinct positive divisors: 1 and itself. 2. Check Divisibility Check if 57 is divisible by any integer other than 1 and 57. Start with the smallest primes: 2, 3, 5, etc. 3. Test Divisibility by 3 Sum of digits of 57 is 5 + 7 = 12, which is divisible by 3. Thus, 57 is divisible by 3.

Explanation

1. Define a Prime Number<br /> A prime number has only two distinct positive divisors: 1 and itself.<br />2. Check Divisibility<br /> Check if 57 is divisible by any integer other than 1 and 57. Start with the smallest primes: 2, 3, 5, etc.<br />3. Test Divisibility by 3<br /> Sum of digits of 57 is 5 + 7 = 12, which is divisible by 3. Thus, 57 is divisible by 3.
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