Final Number Theory

What is the sum of the first 10 positive integers?

• 45

• 55

• 65

• 75

What is the value of the binomial coefficient?

• 10

• 20

• 15

• 25

Which property states that if a divides b and b divides c, then a divides c?

• Transitive property of divisibility

• Commutative property

• Associative property

• Closure property

What is the GCD of 28 and 35?

• 7

• 14

• 5

• 1

Which theorem guarantees that every integer greater than 1 can be factored uniquely into prime numbers?

• Wilson's Theorem

• Euler's Theorem

• Fundamental Theorem of Arithmetic

• Chinese Remainder Theorem

Which of the following symbols represents congruence in modular arithmetic?

• 
• 
• 
• 

What is the solution to the congruence

• x = 2

• x = 3

• x = 0

• x = 1

Which divisibility rule states that a number is divisible by 3 if the sum of its digits is divisible by 3?

• rule for 2

• rule for 3

• rule for 5

• rule for 7

Which theorem states that ____

• Euler's Theorem

• Wilson's Theorem

• Fundamental Theorem of Arithmetic

• Fermat's Little Theorem

• 4

• 6

• 8

• 10