7. The number 2022 has three distinct prime factors, a, b, and c. The number 2022! can be factored as 2022! = amb"cPq where q is a natural number not divisible by a, b, or c. Determine m + n + p. С. 3026 A. 2026 В. 3018 D. 4024 E. 4032

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 52E
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7. The number 2022 has three distinct prime factors, a, b, and c. The number 2022! can be factored as
2022! = amb"cPq where q is a natural number not divisible by a, b, or c. Determine m +n+ p.
А. 2026
%3D
В. 3018
С. 3026
D. 4024
E. 4032
Transcribed Image Text:7. The number 2022 has three distinct prime factors, a, b, and c. The number 2022! can be factored as 2022! = amb"cPq where q is a natural number not divisible by a, b, or c. Determine m +n+ p. А. 2026 %3D В. 3018 С. 3026 D. 4024 E. 4032
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