Since the next prime after 7 is 11, the smallest composite number whose prime factors are all greater than 7, is ▼ Since this is ▼ less greater than 100, there are no ▼ prime composite numbers, from 2 to 100, whose prime factors are all greater than 7. Therefore, ▼ every at least one composite number from 2 to 100 must be a multiple of some prime number less than or equal to 7.
Since the next prime after 7 is 11, the smallest composite number whose prime factors are all greater than 7, is ▼ Since this is ▼ less greater than 100, there are no ▼ prime composite numbers, from 2 to 100, whose prime factors are all greater than 7. Therefore, ▼ every at least one composite number from 2 to 100 must be a multiple of some prime number less than or equal to 7.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 22T
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Question
Since the next prime after 7 is 11, the smallest composite number whose prime factors are all greater than 7, is
▼
Since this is
▼
less
greater
than 100, there are no
▼
prime
composite
numbers, from 2 to 100, whose prime factors are all greater than 7. Therefore,
▼
every
at least one
composite number from 2 to 100 must be a multiple of some prime number less than or equal to 7.
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