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Abstract Algebra: An Introduction
Found in: Page 22
Abstract Algebra: An Introduction

Abstract Algebra: An Introduction

Book edition 3rd
Author(s) Thomas W Hungerford, David Leep
Pages 608 pages
ISBN 9781111569624

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Short Answer

Express each number as a product of primes:

a 5040b -2345c 45670d 2,042,040

a 5040=24×32×5×7b -2345=1×5×7×67c 45670=2×5×4567d 2042040=23×3×5×7×11×13×17

See the step by step solution

Step by Step Solution

Step 1: Express the number as a product of prime 

The prime divisors of number 5040 are 2, 3, 5, and 7.

Express 5040 as a product of primes as follows:

5040=2·2·2·2·3·3·5·7=24×32×5×7

Thus, 5040=24×32×5×7.

Step 2: Express the number as a product of prime

The prime divisors of number are , 5, 7, and 67.

Express -2345 as a product of primes as follows:

-2345=1×5×7×67

Thus, -2345=1×5×7×67.

Step 3: Express the number as a product of prime

The prime divisors of number 45670 are 2, 5, and 4567.

Express 45670 as a product of primes as follows:

45670=2×5×4567

Thus, 45670=2×5×4567.

Step 4: Express the number as a product of prime

The prime divisors of number 2042040 are 2, 3, 5, 7, 11, 13, and 17.

Express 2042040 as a product of primes as follows:

2042040=2×2×2×3×5×7×11×13×17=23×3×5×7×11×13×17

Thus, 2042040=23×3×5×7×11×13×17.

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