Questions and Answers
What is a prime number?
Is 7 a prime number or a composite number?
prime
What is a composite number?
A number that can be divided evenly by numbers other than 1 and itself.
The only even prime number is 2.
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A prime number cannot be divided evenly by any number except _____ and itself.
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What are factors?
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What happens if the sum of a number's digits is a multiple of 3?
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1 is considered a prime number.
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What is one method to check if a number is prime?
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Study Notes
Prime Numbers
- Whole numbers greater than 1 that can only be evenly divided by 1 and themselves.
- Example: 7 is prime because it cannot be evenly divided by any number other than 1 and 7.
- Only even prime number is 2; all other even numbers are composite.
- Any number greater than 5 that ends in 5 is not prime, as it can be divided by 5.
Composite Numbers
- Defined as whole numbers greater than 1 that can be divided evenly by numbers other than 1 and themselves.
- Example: 6 is composite because it can be divided into 2 and 3, in addition to 1 and 6.
- 12 is also composite as it can be evenly divided by 1, 2, 3, 4, 6, and 12.
- 1 is neither prime nor composite, as it lacks sufficient factors.
Factors
- Factors are numbers that multiply together to produce another number.
- A number with only two factors (1 and itself) is defined as prime.
- For example, the factors of 6 are 1, 2, 3, and 6, confirming that it is composite.
Identification of Prime and Composite Numbers
- To identify if a number is prime, check if it can be divided evenly by any prime numbers up to its square root.
- If the sum of a number's digits is a multiple of 3, then that number can be divided by 3.
- Prime number list up to 1,000 includes: 2, 3, 5, 7, 11, 13, 17, 19, etc.
Additional Notes
- The exclusive nature of primes distinguishes them from composites and integrates them into number theory.
- Understanding prime and composite numbers is fundamental in mathematics, particularly in areas involving factors and multiples.
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Description
These flashcards cover the concepts of prime and composite numbers. Learn how to identify prime numbers, which are only divisible by 1 and themselves, and understand the characteristics of composite numbers. This resource is perfect for reinforcing your understanding of basic number theory.
