
Analytic Number Teory
Authored by Jancy Vini
Mathematics
University
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20 questions
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1.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
State well ordering principle
2.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
The greatest natural number d that divides both a and b is called their _____________________ .
greatest common divisor
least common multiple
divisibility rules
factors
3.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Explain the concept of prime factorization.
Prime factorization is the process of finding the prime numbers that multiply together to give the original number.
Prime factorization is only applicable to odd numbers.
Prime factorization involves adding prime numbers to get the original number.
Prime factorization is the process of finding the least common multiple of a set of numbers.
4.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Define the term 'composite number'.
A composite number is a positive integer greater than one that has more than two distinct positive divisors.
A composite number is always a prime number.
A composite number is a negative integer that can be divided by any positive integer.
A composite number is a number that is divisible only by itself and one.
5.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
What is the significance of the Fundamental Theorem of Arithmetic?
The Fundamental Theorem of Arithmetic states that every positive integer greater than one can be uniquely expressed as a product of prime numbers.
The Fundamental Theorem of Arithmetic only applies to even numbers.
The Fundamental Theorem of Arithmetic states that all numbers are prime.
The Fundamental Theorem of Arithmetic is used to find the greatest common divisor of two numbers.
6.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Define the term 'relatively prime'.
Two numbers are relatively prime if their greatest common divisor (GCD) is 1.
Relatively prime numbers are always even numbers.
Relatively prime numbers have a common factor greater than 1.
Relatively prime numbers are always consecutive integers.
7.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
What is the significance of the Euclidean Algorithm in number theory?
The Euclidean Algorithm is used to find the greatest common divisor (GCD) of two numbers efficiently.
The Euclidean Algorithm is only applicable to prime numbers.
The Euclidean Algorithm is used to find the least common multiple (LCM) of two numbers.
The Euclidean Algorithm is used to determine if a number is composite or prime.
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