A Common Sense Question 2
Number Theory
Level
2
Out of all the primes between 1 and 100,how many divide evenly into a power of 2?(assume integers only)
The answer is 1.
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
1 solution
As we know,2 divides all powers of 2.The prime factorization of all powers of 2 do not include any other prime numbers,so 2 is the only prime that divides at least one power of 2.