Category Archives: Number Theory

2021 AMC 12A problem 8

This is a good problem in pattern finding and dealing with offset.

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2021 AMC 10 A problem 8

This problem is about student making a mistake. Instead of multiplying by a repeating decimal she multiplies by the finte decimal and the difference is half. The task is to determine the repeating part.

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Math Challengers 2022 Question 8 Co op Page 2 on number of digits in binary representation

How many digits are there in the binary representation of ?

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Math challengers 2022 Co op problem 12 on factorial and Gaussian addition

How many integers are there such that 1+2+3+…+n divides n! and ?

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Pascal Contest 2022 Question 22

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Prove for every natural number x there exists another natural number y such that x/y is not a natural number

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AMC 8 2017 Problem 8 on largest power of 5 as factor

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AMC 2016 Problem 15

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AMC 8 2011 Problem 24 on sum of primes

In how many ways can 10001 be written as the sum of two primes?

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AMC 8 2011 Problem 22

What is the tens digit of ?

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