Is 87 a prime number or a composite number? This question often arises in the study of mathematics, particularly in the realm of number theory. Understanding whether a number is prime or composite is crucial for various mathematical applications and can be an intriguing topic for discussion among students and enthusiasts alike.
In order to determine whether 87 is a prime or a composite number, it is essential to define these terms. A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. On the other hand, a composite number is a natural number greater than 1 that can be formed by multiplying two smaller natural numbers.
To assess whether 87 is prime or composite, we can examine its factors. A factor of a number is a number that divides the given number without leaving a remainder. In the case of 87, we need to find its factors to determine its classification. By dividing 87 by various numbers, we can identify any factors it may have.
Upon dividing 87 by 1, we obtain 87, which is a factor. Dividing 87 by 2, we find that it is not divisible without a remainder, so 2 is not a factor. Similarly, dividing 87 by 3, 4, 5, and 6 also yields no factors. However, when we divide 87 by 7, we get a quotient of 12 and a remainder of 3. This indicates that 7 is a factor of 87, making it composite.
Since 87 has at least one factor other than 1 and itself, it is classified as a composite number. The factors of 87 are 1, 3, 29, and 87. It is worth noting that 87 can be expressed as the product of two prime numbers, 3 and 29, which are its prime factors.
In conclusion, 87 is a composite number, as it has factors other than 1 and itself. This classification is essential for understanding the properties of numbers and their applications in various mathematical contexts. Exploring the concept of prime and composite numbers can provide valuable insights into the fascinating world of mathematics.
