32 Questions
What is a multiple of a number?
The product of that number and an integer.
What are the factors of 20?
1, 2, 4, 5, 10, 20
What is a characteristic of prime numbers?
They have exactly two distinct positive divisors: 1 and itself.
What is prime factorization?
The process of expressing a number as the product of its prime factors.
What is the least common multiple (LCM) of two or more numbers?
The smallest multiple that two or more numbers have in common.
How do you find the highest common factor (HCF) of two or more numbers?
Take the lowest power of each prime factor that appears in the factorization of each number.
What is a characteristic of composite numbers?
They have more than two factors.
What is the key concept of prime factorization?
Every composite number can be expressed as a product of prime factors.
Which of the following is a characteristic of multiples of a number?
They form a sequence where each term is that number multiplied by an integer
What is the relationship between factors of a number?
They come in pairs, and each pair multiplies to give the original number
Which of the following is true about prime numbers?
They can only be divided by 1 and themselves
What is the process of expressing a number as the product of its prime factors called?
Prime factorization
How do you find the LCM of two or more numbers?
Take the highest power of each prime factor that appears in the factorization of each number
What is the difference between the LCM and HCF of two or more numbers?
LCM is the largest multiple, while HCF is the smallest factor
Which of the following is a characteristic of composite numbers?
They have more than two distinct positive divisors
What is the key concept of prime factorization?
Every number can be expressed as a product of prime factors, and this representation is unique, apart from the order of the factors
What is the result of dividing a number by its highest common factor?
The quotient is always 1
What is the purpose of finding the prime factors of a number?
To express the number as a product of prime factors
Which of the following statements is true about the factors of a composite number?
The factors come in pairs
What is the relationship between the prime factors of a number and its multiples?
The prime factors are the building blocks of the multiples
What is the result of finding the least common multiple of two or more numbers?
The smallest multiple that the numbers have in common
What is the difference between a prime number and a composite number?
A prime number has only two factors, while a composite number has more than two factors
What is the purpose of finding the highest common factor of two or more numbers?
To find the largest number that divides the numbers without leaving a remainder
Which of the following statements is true about the number of factors of a prime number?
A prime number has exactly two factors
Which of the following statements is true about the multiples of a number?
They can be both prime and composite numbers.
What is the relationship between the prime factors of a number and its factors?
The prime factors are a subset of the factors.
What is the purpose of finding the prime factors of a number?
To express the number as a product of prime numbers.
Which of the following statements is true about the HCF of two or more numbers?
It is always a factor of the numbers.
What is the relationship between the LCM and HCF of two or more numbers?
The LCM is always greater than the HCF.
Which of the following statements is true about the factors of a composite number?
They can be both prime and composite numbers.
What is the result of dividing a number by its HCF?
The result is always a factor of the number.
Which of the following statements is true about the prime factors of a number?
They are always unique.
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