Fibonacci Sequence: 1,1,2,3,5,8,... Perfect Squares: 1,4,9,16,25,... Triangular Numbers: 1,3,6,10,15,... Prime Numbers: 2,3,5,7,11,13,17,... 2^n: 2,4,8,16,32,64,...
Numbers with exactly three factors are squares of prime numbers.
5
The squares of all prime numbers above 2 have exactly 3 factors.
All numbers that are the square of primes have exactly 3 factors.
squares of prime numbers
Numbers can't be divided by multiples. They get divided by factors. Factors go into numbers, numbers go into multiples.
No - prime numbers are numbers that can only be divided by 1 and itself. 25 and 49 are examples of perfect squares 5*5 = 25 and 7*7=49
Those would be the squares of prime numbers: 22, 32, 52, etc.
prime squares
Perfect squares are positive. A smallest negative number doesn't exist. The four smallest prime numbers are 2, 3, 5 and 7. The smallest perfect square would have to be 2^2 x 3^2 x 5^2 x 7^2 or 44,100
The squares of all prime numbers have 3 factors.
The squares of prime numbers greater than 10.
There are two prime numbers with squares between 100 and 300. These prime numbers are 11 and 13. (112 = 121 and 132 = 169.)
Fibonacci Sequence: 1,1,2,3,5,8,... Perfect Squares: 1,4,9,16,25,... Triangular Numbers: 1,3,6,10,15,... Prime Numbers: 2,3,5,7,11,13,17,... 2^n: 2,4,8,16,32,64,...
The only numbers which have exactly three factors are perfect squares of prime numbers. That only gives us two results: 5^2 = 25 7^2 = 49 The squares of any other prime numbers are either too small or too large to have two digits. (The next smaller prime number is 3, and the next larger prime number is 11.)
squares of prime numbers