/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q.5 In the following exercises, use ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Q.5 (page 21)

In the following exercises, use the divisibility tests to determine whether each number is divisible by 2, by 3, by 5, by 6, and by 10.

22,335

Short Answer

Expert verified

22,335 is divisible by 3 and by 5.

Step by step solution

01

Step 1. Given information

The given number is 22,335.

It is to be determined whether 22,335 is divisible by 2, by 3, by 5, by 6, and by 10.

02

Step 2. Checking divisibility by 2

A number is divisible by 2 if the last digit is 0, 2, 4, 6, or 8.

22,335 ends with 5.

Therefore, 22,335 is not divisible by 2.

03

Step 3. Checking divisibility by 3

A number is divisible by 3 if the sum of digits is divisible by 3.

The sum of the digits of 22,335 is 2+2+3+3+5=15.

15 is divisible by 3.

Therefore, 22,335 is divisible by 3.

04

Step 4. Checking divisibility by 5

A number is divisible by 5 if the last digit is 0, or 5.

22,335 ends with 5.

Therefore, 22,335 is divisible by 5.

05

Step 5. Checking divisibility by 6

A number is divisible by 6, if it is divisible by both 2 and 3.

22,335 is divisible by 3 but not by 2.

Therefore, 22,335 is not divisible by 6.

06

Step 6. Checking divisibility by 10

A number is divisible by 10 if the last digit is 0.

22,335 does not end with 0.

Therefore, 22,335 is not divisible by 10.

07

Step 7. Conclusion

Therefore, 22,335 is divisible by 3 and by 5.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Translate the English phrase into an algebraic expression:

(a) the difference of 14x2and 13

(b) the quotient of 12x and 2

(c) 13 more than z

(d)18 less than 8x

Find the prime factorization of 80.

Simplify: 3x2+7x+9+7x2+9x+8

Simplify the expressions using distributive property143q+12

Simplify:100(0.04+0.35d)
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Pure Maths

Read Explanation

Applied Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Geometry

Read Explanation

Mechanics Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.