   Chapter 14.CR, Problem 40E ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

#### Solutions

Chapter
Section ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

# 25-42 ■ Probability These exercises involve probability.Divisors of a Number Let N  =   3 , 600 , 000 . (Note that N  =   2 7 3 2 5 5 .)(a) How many divisors does N have?(b) How many even divisors does N have?(c) How many divisors of N are multiples of 6 ?(d) What is the probability that a randomly chosen divisor of N is even?

To determine

(a)

To find:

The number of divisors of N.

Explanation

Given:

The number is

N=3600000=(27)(32)(55)

Approach:

The total number of divisors of a number N=Aa×Bb×Cc× is given by,

d=(a+1)(b+1)(c+1) ..

To determine

(b)

To find:

The number of even divisors of N.

To determine

(c)

To find:

The number of divisors N that are multiples of 6.

To determine

(d)

To find:

The probability that a randomly chosen divisor of N is even.

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