COMC COMC Number Theory and Algebra

Question 1

What is the sum of all positive divisors of 28?

Accepted Answer

56

Answer

28

Answer

42

Answer

48

Question 2

What is the remainder when 7^100 is divided by 4?

Accepted Answer

1

Answer

3

Answer

0

Answer

2

Question 3

How many positive divisors does 360 have?

Accepted Answer

24

Answer

18

Answer

12

Answer

36

Question 4

If gcd(a, b) = 6 and lcm(a, b) = 60, what is the product ab?

Accepted Answer

360

Answer

300

Answer

420

Answer

180

Question 5

What is the smallest positive integer that has exactly 5 positive divisors?

Accepted Answer

16

Answer

12

Answer

20

Answer

24

Question 6

What is the remainder when 2026² is divided by 10?

Accepted Answer

6

Answer

4

Answer

2

Answer

8