Number Theory Selected AMC 10 Practice Problems
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Question 1 of 5
1. Question
[2007 AMC 10A] The numbers from 1 to 8 are placed at the vertices of a cube in such a manner that the sum of the four numbers on each face is the same. What is this common sum?
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Question 2 of 5
2. Question
[2013 AMC 12B] What is the sum of the exponents of the prime factors of the square root of the largest perfect square that divides
?CorrectIncorrect -
Question 3 of 5
3. Question
[2018 AMC 10B] How many of the first
numbers in the sequence 
are divisible by 
?
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Question 4 of 5
4. Question
[2016 AMC 10B] In how many ways can 345 be written as the sum of an increasing sequence of two or more consecutive positive integers?
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Question 5 of 5
5. Question
[2016 AMC 10A]
For some positive integer
, the number 
has 
positive integer divisors, including 
and the number . How many positive integer divisors does the number 
have?
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