(a) that would be the powers of 2: 1,2,4,...
(b) 1024 = 2^10
a) Find all of the numbers between 1 and 1,000 that have 2 as their only prime factor.
b) What is the next number after 1,000 that had 2 as its only prime fractor?
2 answers
a)
The only such numbers are the powers of 2:
2¹ = 2
2² =4
2³ = 8
2⁴ = 16,
2⁵ = 32
2⁶ = 64
2⁷ = 128
2⁸ = 256
and
2⁹ = 512
All other numbers are either non-prime or, if prime, are not divisible by 2.
b)
2¹⁰ =1024
Because all the numbers between 1 and 1000 that have 2 as their only prime
The only such numbers are the powers of 2:
2¹ = 2
2² =4
2³ = 8
2⁴ = 16,
2⁵ = 32
2⁶ = 64
2⁷ = 128
2⁸ = 256
and
2⁹ = 512
All other numbers are either non-prime or, if prime, are not divisible by 2.
b)
2¹⁰ =1024
Because all the numbers between 1 and 1000 that have 2 as their only prime