Podcast
Questions and Answers
If a number has only two factors, 1 and itself, what type of number is it?
If a number has only two factors, 1 and itself, what type of number is it?
- Composite number
- Prime number (correct)
- Rational number
- Integer
Which of the following numbers has the property of being a prime number?
Which of the following numbers has the property of being a prime number?
- 23 (correct)
- 9
- 33
- 15
Why is it incorrect to define 1 as a prime number?
Why is it incorrect to define 1 as a prime number?
- It has more than two distinct divisors
- It is a composite number
- It does not have exactly two distinct divisors (correct)
- It is an even number
Which of the following statements accurately describes a prime number?
Which of the following statements accurately describes a prime number?
What criterion must two numbers meet to be considered co-prime?
What criterion must two numbers meet to be considered co-prime?
Which of the following pairs of numbers are considered co-prime?
Which of the following pairs of numbers are considered co-prime?
Determine whether the numbers 33 and 34 are co-prime.
Determine whether the numbers 33 and 34 are co-prime.
Identify the pair of numbers that are NOT co-prime.
Identify the pair of numbers that are NOT co-prime.
What characteristic defines a pair of twin prime numbers?
What characteristic defines a pair of twin prime numbers?
From the options below, select the pair of numbers that qualifies as twin primes.
From the options below, select the pair of numbers that qualifies as twin primes.
Which of the following pairs is NOT a set of twin primes?
Which of the following pairs is NOT a set of twin primes?
Do the numbers 41 and 43 qualify as twin primes?
Do the numbers 41 and 43 qualify as twin primes?
According to the divisibility rule for 2, when is a number divisible by 2?
According to the divisibility rule for 2, when is a number divisible by 2?
Which number from the following list is divisible by 3?
Which number from the following list is divisible by 3?
What criterion determines if a number is divisible by 5?
What criterion determines if a number is divisible by 5?
Which of the following numbers is divisible by 9?
Which of the following numbers is divisible by 9?
What is the key requirement for a number to be divisible by 10?
What is the key requirement for a number to be divisible by 10?
Under what condition is a number divisible by 6?
Under what condition is a number divisible by 6?
Which number from the following options is NOT a prime number?
Which number from the following options is NOT a prime number?
Which pair of numbers are considered co-prime?
Which pair of numbers are considered co-prime?
Flashcards
What is a prime number?
What is a prime number?
A number divisible by 1 and itself only.
What are co-prime numbers?
What are co-prime numbers?
A number that has only 1 as a common divisor with another number.
What are twin prime numbers?
What are twin prime numbers?
Two numbers that are both prime and differ by 2.
Divisibility rule for 2
Divisibility rule for 2
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Divisibility rule for 5
Divisibility rule for 5
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Divisibility rule for 10
Divisibility rule for 10
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Divisibility Rule for 6
Divisibility Rule for 6
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Study Notes
Prime Numbers
- A prime number can only be divided by 1 and itself.
- 17 is an example of prime number.
- 1 is not a prime number.
- 37 is a prime number.
Co-prime Numbers
- Co-prime numbers only share 1 as a common divisor.
- 5 and 7 are examples of co-prime numbers.
- 14 and 25 are co-prime numbers.
- 18 and 45 are not co-prime numbers.
Twin-prime Numbers
- Twin prime numbers are both prime and differ by 2.
- (11, 13) is a pair of twin primes.
- (17, 20) is not a pair of twin primes.
- 29 and 31 are twin primes.
Divisibility Rules
- A number is divisible by 2 if its last digit is even.
- 123 is divisible by 3.
- Numbers divisible by 5 end in 0 or 5.
- 387 is divisible by 9.
- To check if a number is divisible by 10, the number must end in 0.
- A number is divisible by 6 if it is divisible by both 2 and 3.
Mixed Questions
- 25 is not a prime number.
- 12 and 25 are co-prime.
- (5, 7) is a twin-prime pair.
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