Suppose a = p²¹...p be the canonical factorization. Then the sum of all the factors of a, denoted by σ(a) is given by o(a) = II + k₂+1 P -1 Pi - 1 (you don't need to prove this). (a) Let a = 2³ × 7². Find σ(a), which the sum of all the factors a.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.3: Algebraic Expressions
Problem 48E
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Suppose
a = p²¹...p
be the canonical factorization. Then the sum of all the factors of a, denoted by
σ(a) is given by
o(a) = II
+ k₂+1
P -1
Pi - 1
(you don't need to prove this).
(a) Let a = 2³ × 7². Find σ(a), which the sum of all the factors a.
Transcribed Image Text:Suppose a = p²¹...p be the canonical factorization. Then the sum of all the factors of a, denoted by σ(a) is given by o(a) = II + k₂+1 P -1 Pi - 1 (you don't need to prove this). (a) Let a = 2³ × 7². Find σ(a), which the sum of all the factors a.
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