Is 95 a prime number? This question often arises among math enthusiasts and novices alike. To understand whether 95 is a prime number, we must first delve into the definition of prime numbers and then analyze the factors of 95.
Prime numbers are natural numbers greater than 1 that have no positive divisors other than 1 and themselves. In other words, a prime number cannot be formed by multiplying two smaller natural numbers. For instance, 2, 3, 5, and 7 are prime numbers, as they have no divisors other than 1 and themselves.
To determine if 95 is a prime number, we need to examine its factors. A factor of a number is a natural number that divides the number without leaving a remainder. If 95 has any factors other than 1 and itself, it is not a prime number.
Upon inspection, we find that 95 can be divided by 5 and 19. Specifically, 95 = 5 × 19. Since 95 has divisors other than 1 and itself, it is not a prime number. Instead, it is classified as a composite number, which is a positive integer that has at least one positive divisor other than one or itself.
In conclusion, 95 is not a prime number because it has divisors other than 1 and itself. This distinction is crucial in the study of number theory and the classification of numbers in mathematics. Understanding the properties of prime and composite numbers can help us solve various mathematical problems and appreciate the beauty of mathematics.
