A query that has only got two different prime factors

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Discussion Overview

The discussion revolves around the classification of numbers based on their prime factors, specifically focusing on what to call a number that has only two different prime factors. Participants explore examples and definitions related to prime numbers and factors.

Discussion Character

  • Conceptual clarification, Debate/contested

Main Points Raised

  • One participant states that a prime number is defined as a number that can only be divided by itself and 1, and questions what to call a number with only two different prime factors.
  • Another participant asserts that 1 is not a prime number and therefore cannot be considered a prime factor.
  • A different participant mentions that powers of a prime do not have a special name beyond being referred to as "power of a prime."
  • One participant provocatively suggests that numbers like 2, 3, 5, 7, 11, and 13 are not primes, though this claim is not elaborated upon.
  • It is noted that every number is a factor of 0, with agreement from another participant.

Areas of Agreement / Disagreement

Participants express disagreement regarding the status of 1 as a prime factor, and there are competing views on the classification of numbers with two different prime factors. The discussion remains unresolved on these points.

Contextual Notes

There are limitations in the definitions provided, particularly regarding the classification of 1 and the terminology for numbers with two different prime factors. The discussion does not reach a consensus on these definitions.

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:
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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!
 

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