Math | Math Olympiad | OMK
Factorial Integer Weeks and Seconds
Find all positive integers m such that m weeks = n! seconds
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Let n, m be an element of Z+ and a,b be elements of Z. Suppose that a=b(modn) and a =b(modm) and that (n,m)=1. Prove that a=b(mod nm)
Answer Z+ means positive integers. Proof. (a – b) is divisible by n. (a – b) = pn…
A LCM Fact
2,520 is the “smallest” number which is divisible by “all” numbers from 1 to 10. How? Why? LCM…
Basic Factorization
Question Factor each expression. a^2(b-c)-16b^2(b-c) Answer a^2(b-c)-16b^2(b-c) = (b -c) [ a^2-16b^2 ] =(b -c) [ a^2-(4b)^2…
Find A Three Digit Number
Here’s a Number Theory Question: [A three digit number N satisfies the following condition: N is equal to…
SASMO 2013 Primary – Next Number in Sequence?
Given the sequence 19, (?) , 70, (??), 189 Find the missing terms and the pattern…
A property of Regular Octagons
Question Prove that the area of a regular octagon is the product of its longest diagonal and its…
