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Elements Of Modern Algebra

8th Edition
Gilbert + 2 others
ISBN: 9781285463230
BuyFindarrow_forward

Elements Of Modern Algebra

8th Edition
Gilbert + 2 others
ISBN: 9781285463230
Textbook Problem

1 . List all divisors of the following integers.

a . 30 b . 42 c . 28 d . 45

e . 24 f . 40 g . 32 h . 210

(a)

To determine

All divisors of 30.

Explanation

Given information:

Integer: 30

Formula used:

Divisor:

Let a,b be any integers. a is a divisor of b. Write a|b if there is an integer c such that b=ac.

Explanation:

Use the definition of a divisor.

a is a divisor of 30 when there exists an integer c such that 30=ac.

For that, we need to write 30 in terms of prime factors with 1

(b)

To determine

All divisors of 42.

(c)

To determine

All divisors of 28.

(d)

To determine

All divisors of 45.

(e)

To determine

All divisors of 24.

(f)

To determine

All divisors of 40.

(g)

To determine

All divisors of 32.

(h)

To determine

All divisors of 210.

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