A query that has only got two different prime factors

  • Thread starter Thread starter QuantumNet
  • Start date Start date
  • Tags Tags
    Factors Prime
Click For Summary
A number with only two different prime factors is characterized by its prime factorization, where one of the factors can be a prime raised to a power. For example, 9 has the prime factor 3, repeated, and 27 also has 3 as its only prime factor. The number 1 is not considered a prime and cannot be a prime factor. Powers of a prime are simply referred to as "powers of a prime." The discussion emphasizes the distinction between prime factors and the nature of numbers like 0 and 1 in this context.
QuantumNet
Yes, ofcourse, a primenumber is a number that can only be divided with itself and 1.

But what do you call a query that has only got two different prime factors?

9 has got the factors 9, 3 and 1. But has only two different prime factors. 9 = 3*3, so the query has got the prime factors 3 and 1.

27 has also only got two prime factors, 3 and 1

aswell as 3.

0 and 1 has got one prime factor

0 1 2 3 4 5 7 8 9 11 13 16... has got two prime factors etc.
 
Last edited by a moderator:
Physics news on Phys.org
1 isn't a prime therefore it cannot be a prime factor of any number.
 
Powers of a prime don't have any special name except "power of a prime".
 
Then 2,3,5,7,11 and thirteen are not primes either.
 
Last edited:
Every number is a factor of 0.
 
Originally posted by Hurkyl
Every number is a factor of 0.

I agree, totally!
 
I am studying the mathematical formalism behind non-commutative geometry approach to quantum gravity. I was reading about Hopf algebras and their Drinfeld twist with a specific example of the Moyal-Weyl twist defined as F=exp(-iλ/2θ^(μν)∂_μ⊗∂_ν) where λ is a constant parametar and θ antisymmetric constant tensor. {∂_μ} is the basis of the tangent vector space over the underlying spacetime Now, from my understanding the enveloping algebra which appears in the definition of the Hopf algebra...

Similar threads

  • · Replies 3 ·
Replies
3
Views
1K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 2 ·
Replies
2
Views
4K
  • · Replies 2 ·
Replies
2
Views
2K
Replies
1
Views
3K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 36 ·
2
Replies
36
Views
981
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 32 ·
2
Replies
32
Views
5K