
Directions: Answer these questions pertaining to prime factoring. Read carefully and choose the best answer.
1. 
Which choice shows the prime factorization of 58?



2. 
Using the diagram at the right, determine the GCF and LCM for 120 and 630.



3. 
2^{2} x 3 x 7 x 11 is the prime factorization of what number?



4. 
Which of the following numbers is a composite number?



5. 
Which list shows all the prime numbers greater than 20 and less than 30?



6. 
Hot dogs come in packages of 8. Hot dog buns come in packages of 10. What is the smallest number of packages of each you would need to buy to have exactly one hot dog for every hot dog bun?



7. 
What is wrong with this attempted prime factorization? 36 = 2 x 2 x 9



8. 
What prime factors belong in the blue box and yellow box, respectively, in this diagram?



9. 
Which of the following is a prime factorization?



10. 
Government intelligence agencies have discovered that encryption techniques based on prime numbers can currently not be cracked. Such techniques can be used to encrypt emails based upon the product of two very large prime numbers. One of the largest primes ever found has over 2 million digits, with new numbers still being found.
Consider a very simple encryption using the product 143. What two prime numbers were multiplied to give this value?



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