Is there a difference between divisor or factor?

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Discussion Overview

The discussion centers on whether there is a difference between the terms "divisor" and "factor" in the context of integers. Participants explore definitions and relationships between these concepts.

Discussion Character

  • Conceptual clarification

Main Points Raised

  • Some participants propose that there is no difference between a divisor and a factor of an integer.
  • One participant references a Wikipedia article to support the claim that the terms are interchangeable.
  • Another participant provides a mathematical explanation, stating that if m is a divisor of N, then m is also a factor, and describes the relationship using the notation m | N.
  • One participant expresses uncertainty, noting conflicting information found online.

Areas of Agreement / Disagreement

Participants generally agree that there is no difference between the terms, but some express uncertainty due to conflicting information.

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Is there a difference between divisor or factor of an integer?
 
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no difference to me.
 
matqkks said:
Is there a difference between divisor or factor of an integer?

jedishrfu said:
I don't think so:
I agree.

For an integer N, if m is a divisor, m is also a factor.

If m | N (i.e., m divides N), then there is an integer p such that M = m * p. Clearly both m and p are factors of N.
 
This is what I thought but have found conflicting info on the internet. Thanks.
 

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