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Practice Questions: Prime Numbers, Factors, and Multiples

Instructions

Answer the following questions. Show your work where needed.

Prime Numbers

1. List all prime numbers between 1 and 50.

2. Is 73 a prime number? Explain your reasoning.

3. Find the smallest prime number greater than 100.

4. Write the prime factorization of 84.

5. What is the greatest prime number less than 30?

Factors

1. Find all the factors of 60.

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

3. A number has exactly three factors: 1, 5, and itself. What is the number?

Multiples

1. Write the first 5 multiples of:

   • a) 6

   • b) 15

2. Two buses leave a station at the same time. One bus stops every 12 minutes, and the other stops every 18 minutes. How long will it take before they stop at the same time again?

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Bonus Question

Find the least common multiple (LCM) of 8, 12, and 20, and explain how you found it.