QuestionЕрөнхий шинж чанартай, ялгаатай юмсын цуглуулгыг олонлог гэнэ. Тэгвэл дараах зүйлүүдээс аль нь анхны тоон олонлогт багтах вэ?
Studdy Solution
STEP 1
Assumptions
1. The problem is asking to identify which numbers from the given list belong to the set of prime numbers.
2. A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.
3. The given list of numbers is: .
STEP 2
Check each number in the list to determine if it is a prime number.
STEP 3
Determine if 2 is a prime number.
- 2 is greater than 1.
- The only divisors of 2 are 1 and 2.
- Therefore, 2 is a prime number.
STEP 4
Determine if 7 is a prime number.
- 7 is greater than 1.
- The only divisors of 7 are 1 and 7.
- Therefore, 7 is a prime number.
STEP 5
Determine if 8 is a prime number.
- 8 is greater than 1.
- The divisors of 8 are 1, 2, 4, and 8.
- Since 8 has divisors other than 1 and itself, it is not a prime number.
STEP 6
Determine if 1 is a prime number.
- 1 is not greater than 1.
- Therefore, 1 is not a prime number.
STEP 7
Determine if 13 is a prime number.
- 13 is greater than 1.
- The only divisors of 13 are 1 and 13.
- Therefore, 13 is a prime number.
STEP 8
Determine if 15 is a prime number.
- 15 is greater than 1.
- The divisors of 15 are 1, 3, 5, and 15.
- Since 15 has divisors other than 1 and itself, it is not a prime number.
STEP 9
Determine if 30 is a prime number.
- 30 is greater than 1.
- The divisors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.
- Since 30 has divisors other than 1 and itself, it is not a prime number.
STEP 10
Determine if 25 is a prime number.
- 25 is greater than 1.
- The divisors of 25 are 1, 5, and 25.
- Since 25 has divisors other than 1 and itself, it is not a prime number.
STEP 11
Determine if 54 is a prime number.
- 54 is greater than 1.
- The divisors of 54 are 1, 2, 3, 6, 9, 18, 27, and 54.
- Since 54 has divisors other than 1 and itself, it is not a prime number.
STEP 12
List the numbers from the original set that are prime numbers.
- The prime numbers from the list are: .
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