AMC12 Number Theory

Question 1

What is the remainder when 7^100 is divided by 5?

Accepted Answer

1

Answer

4

Answer

2

Answer

3

Question 2

How many positive divisors does 360 have?

Accepted Answer

24

Answer

18

Answer

12

Answer

36

Question 3

What is gcd(48, 36)?

Accepted Answer

12

Answer

6

Answer

4

Answer

24

Question 4

What is the smallest positive integer with exactly 6 divisors?

Accepted Answer

12

Answer

18

Answer

6

Answer

24

Question 5

How many integers from 1 to 100 are divisible by 3 or 5?

Accepted Answer

47

Answer

33

Answer

20

Answer

53

Question 6

What is 13^2 mod 7?

Accepted Answer

1

Answer

6

Answer

2

Answer

4