MATH 140 Test #2 Name_______________

Instructions: Answer all the questions on the paper provided and show your work. Each problem is worth 5 points.

1. Express the base ten numeral 131 in base 12. 1.____________

2. Express the base twn numeral 254 in base 5. 2.____________

3. Express the base 2 numeral 111011₂ in base 10. 3.____________

4. Express the base 12 numeral 1T2₁₂ in base 10. 4.____________

5. Perform the given operation: 10020₅ - 3242₅ 5.____________

6. Perform the given operation: 2T₁₂ ´ 9E₁₂ 6.____________

7. Perform the given operation: 10000₅ ¸ 32₅ 7.____________

8. Find the prime factorization of 792. 8.____________

9. Find the prime factorization of 2695. 9.____________

10. Find d(792). 10.____________

11. Give an example of a number with exactly 20 positive factors. 11.____________

(You may give the number in prime factorization form.)

12. Is 161 a prime? 12.____________

13. What is the largest prime that one needs to divide 1007 by 13.____________

in order to determine if 1007 is a prime?

14. Find the GCD of 36 and 270 using prime factorization. 14.____________

15. Find the GCD of 161 and 2520 using the Euclidean Algorithm. 15.____________

16. Find the LCM of 28 and 98 using prime factorization. 16.____________

17. Find the LCM of 6 and 96 using any method. 17.____________

18. Show that 2½18.

19. Does 9½3? Why or why not?

20. Express 594 as a Roman numeral. 20.____________