The basics
Factoring
Fun Numbers
Different Bases
Calculations
100
It's only proper divisors are one and itself.
What is a prime number?
100
a=p1^(e1)*p2^(e2)*p3^(e3)...pn^(en)
What is a prime factorization?
100
The sum of its proper divisors equals the number itself.
What is a perfect number?
100
base 2
What is binary?
100
LCM[12,30]
What is 60?
200
The number c, where c=ab, with a and b between 1 and c.
What is a composite number?
200
A pair of positive integers with GCD 1.
What are relatively prime (or coprime) numbers?
200
1,1,2,3,5,8,13,21,...
What are the Fibonacci Numbers?
200
64 in base 8
What is 100?
200
The number of odd 7 digit palindromes.
What is 5000?
300
A visual representation of factoring numbers often used by our book (and your teacher).
What is a factor tree?
300
GCD(m,n)=GCD(m-n,n)
What is What is The Euclidean Algorithm?
300
The Greek name for a special beautiful ratio.
What is Phi?
300
The 16th number in base 14 (count starting at 1, not 0)
What is 12?
300
The number of divisors of 600
What is 24?
400
Also known as non-negative integers.
What are the natural numbers?
400
For any integer a and positive integer b, there exists exactly one pair of integers q and r such that a=bq+r where 0 <= r < b
What is The Division Theorem (or Algorithm)?
400
There are an infinite number of primes of the form p and p+2
What is the Twin Prime Conjecture?
400
514 (base 9) + 27 (base 9)
What is 542 (base 9)?
400
The number of integers between 200 and 300 (inclusive) that leave a remainder of 5 when divided by 8.
What is 12?
500
Every positive integer has exactly one prime factorization.
What is The Fundamental Theorem of Arithmetic?
500
A relationship between two numbers, their GCDs, and their LCMs.
What is mn=GCD(m,n)*LCM(m,n)?
500
Prime numbers of the form 2^(2^n)+1
What are Fermat primes?
500
6 (base 8) multiplied by 7 (base 8)
What is 52 (base 8)?
500
The number of perfect squares less than 500 that are divisible by 8.
What is 6?
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