Question

Среди чисел 1,3,6,7,12,13,21,23,24,28,29,33,45,46,47укажите :1) простые ;2)составные .

Answer 1

1) Простые числа имеют только два делителя: само число и единицу:

1; 3; 7; 13; 23; 29; 47 - простые числа;

2) Составные числа можно разложить на простые множители:

6=2*3; 12=2*2*3; 21=3*7; 24=2*2*2*3; 28=2*2*7; 33=3*11; 45=3*3*5; 46=2*23 - составные числа.

Answer 2

To identify which numbers are prime and which are composite from the given list, let's first understand the definitions:

1. Prime Number: A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. In other words, a prime number cannot be divided evenly by any other number except 1 and itself.

2. Composite Number: A composite number is a natural number greater than 1 that is not prime. In other words, a composite number has at least one positive divisor other than 1 and itself.

Now, let's categorize the numbers from the given list:

1, 3, 6, 7, 12, 13, 21, 23, 24, 28, 29, 33, 45, 46, 47

1. Prime Numbers: Prime numbers from the given list are numbers that have no divisors other than 1 and themselves.

Prime numbers: 3, 7, 13, 23, 29, 47

2. Composite Numbers: Composite numbers are numbers that have at least one divisor other than 1 and themselves.

Composite numbers: 1, 6, 12, 21, 24, 28, 33, 45, 46

Note: 1 is not considered a prime number because it has only one positive divisor (itself). Prime numbers must have exactly two distinct positive divisors (1 and the number itself).