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Number Theory and Arithmetic Flashcards

6 cards from real IMSA practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 6 Number Theory and Arithmetic flashcards as text

  1. What is the greatest common factor (GCF) of 36 and 48?

    Answer: 12

    The factors of 36 are 1,2,3,4,6,9,12,18,36 and of 48 are 1,2,3,4,6,8,12,16,24,48; the greatest common factor is 12.

  2. What is the least common multiple (LCM) of 4 and 6?

    Answer: 12

    Multiples of 4: 4,8,12; multiples of 6: 6,12; the LCM is 12.

  3. Which of the following is a prime number?

    Answer: 37

    37 is only divisible by 1 and itself, making it prime; the others have additional factors.

  4. What is 2³ × 3²?

    Answer: 72

    2³ = 8 and 3² = 9; 8 × 9 = 72.

  5. What is the prime factorization of 60?

    Answer: 2² × 3 × 5

    60 = 4 × 15 = 2² × 3 × 5.

  6. What is the value of 5! (5 factorial)?

    Answer: 120

    5! = 5 × 4 × 3 × 2 × 1 = 120.