Consider the numbers A and B below. A = 235 x 512 x 721 B = 223 x 37 x 732 (a) Find a number that is a multiple of A but not of B. (You may just provide the prime factorization of the number.) 95 (b) Find a number that is a multiple of B but not of A. (You may just provide the prime factorization of the number.) (c) Find a number that is neither a multiple of A nor of B. (You may just provide the prime factorization of the number.) (d) Find a number that is a multiple of both A and B, but is not the least common multiple. (You may just provide the prime factorization of the number.) (e) Explain how to use the prime factorization of A and B to find the least common multiple A and B.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Question
a-e please
4. Consider the numbers A and B below.
A = 235 x 512 x 721
B = 23 x 37 x 732
(a) Find a number that is a multiple of A but not of B. (You may just provide the prime
factorization of the number.)
95
(b) Find a number that is a multiple of B but not of A. (You may just provide the prime
factorization of the number.)
(c) Find a number that is neither a multiple of A nor of B. (You may just provide the prime
factorization of the number.)
(d) Find a number that is a multiple of both A and B, but is not the least common multiple.
(You may just provide the prime factorization of the number.)
(e) Explain how to use the prime factorization of A and B to find the least common multiple
A and B.
Transcribed Image Text:4. Consider the numbers A and B below. A = 235 x 512 x 721 B = 23 x 37 x 732 (a) Find a number that is a multiple of A but not of B. (You may just provide the prime factorization of the number.) 95 (b) Find a number that is a multiple of B but not of A. (You may just provide the prime factorization of the number.) (c) Find a number that is neither a multiple of A nor of B. (You may just provide the prime factorization of the number.) (d) Find a number that is a multiple of both A and B, but is not the least common multiple. (You may just provide the prime factorization of the number.) (e) Explain how to use the prime factorization of A and B to find the least common multiple A and B.
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