Podcast
Questions and Answers
Which of the following statements correctly defines a prime number?
Which of the following statements correctly defines a prime number?
- A natural number greater than 2 that has only two divisors.
- A natural number greater than 1 that has exactly two divisors. (correct)
- Any whole number that is not divisible by 2.
- A number that has more than two divisors.
Which of the following numbers is classified as a prime number?
Which of the following numbers is classified as a prime number?
- 5 (correct)
- 10
- 6
- 4
Which of the following numbers is NOT a prime number?
Which of the following numbers is NOT a prime number?
- 3
- 2
- 9 (correct)
- 7
Which of the following statements about prime numbers is true?
Which of the following statements about prime numbers is true?
How many prime numbers are between 1 and 10?
How many prime numbers are between 1 and 10?
Flashcards
Prime Number
Prime Number
A natural number greater than 1 that is only divisible by 1 and itself.
Divisor
Divisor
A number that divides another number evenly, with no remainder.
Factoring
Factoring
The process of finding the factors of a number.
Factors
Factors
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Composite Number
Composite Number
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Study Notes
Prime Numbers Defined
- A prime number is a natural number greater than 1.
- It has precisely two divisors: 1 and itself.
- Examples of prime numbers include 2, 3, and 5.
Key Characteristics of Prime Numbers
- Prime numbers are greater than 1.
- They are divisible only by 1 and themselves.
- They aren't divisible by any other natural numbers.
Distinguishing Prime Numbers from Composite Numbers
- Composite numbers are natural numbers greater than 1 that are not prime.
- Composite numbers have more than two divisors.
- For example, 4 is a composite number because it is divisible by 1, 2, and 4.
Importance of Prime Numbers
- Prime numbers are fundamental building blocks of the natural numbers.
- Their properties are crucial in number theory and other areas of mathematics.
- Prime numbers have diverse applications in fields like cryptography.
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