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Zorluk: KolayClassification of Numbers

If PP is the smallest prime number and CC is the smallest positive composite number, what is the value of P+CP + C?

Cevap: 6

Cevap

6
The smallest prime number is 2, as it is the first positive integer greater than 1 with exactly two distinct divisors. The smallest positive composite number is 4, as it is the first positive integer with more than two distinct divisors (1, 2, and 4). The number 1 is excluded from both categories. Therefore, their sum is 2 + 4 = 6.

Adım Adım Çözüm

1
Identify the smallest prime number.
P = 2
A prime number is a positive integer greater than 1 that has exactly two positive divisors. The smallest such number is 2.
2
Identify the smallest positive composite number.
C = 4
A composite number is a positive integer that has at least one divisor other than 1 and itself. The numbers 1, 2, and 3 are not composite. The number 4 has divisors 1, 2, and 4, making it the smallest positive composite number.
3
Calculate the sum of P and C.
2 + 4 = 6
The question asks for the sum of the two identified values.

Anahtar Kavram

Basic definitions and properties of prime and composite numbers
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Konular

Classification of Numbers

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