हिंदी
Maharashtra State BoardSSC (English Medium) 5th Standard
पाठ्यपुस्तक उत्तर८१४३
अवधारणा स्पष्टीकरण और वीडियो२४६
पाठ्यक्रम

Tests for Divisibility of Numbers

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Topics

  • Introduction
  • Divisibility Rules
Maharashtra State Board: Class 5

Introduction

‘Divisible' means when you divide one number by another, the remainder should be zero. Divisibility tests are useful in the prime factorisation of a number.
To check whether a number is divisible without performing long division, we use divisibility rules.

These rules allow us to analyse, examine, and manipulate the digits of a number using basic arithmetic operations to check for divisibility.

CISCE: Class 6

Divisibility Rules

Divisibility By Rule
2 A number is divisible by 2 if its last digit is 0, 2, 4, 6, or 8.
3 A number is divisible by 3 if the sum of its digits is divisible by 3.
4 A number is divisible by 4 if the last two digits are divisible by 4.
5 A number is divisible by 5 if its last digit is 0 or 5.
6 A number is divisible by 6 if it is divisible by both 2 and 3.
8 A number is divisible by 8 if the last three digits form a number divisible by 8.
9 A number is divisible by 9 if the sum of its digits is divisible by 9.
10 A number is divisible by 10 if its last digit is 0.

Test Yourself

Related QuestionsVIEW ALL [120]

Test the divisibility of the following numbers by 9:

326999

Using divisibility tests, determine which of the following numbers are divisible by 2; by 3; by 4; by 5; by 6; by 8; by 9; by 10; by 11 (say, yes or no):

Number

Divisible by

2

3

4

5

6

8

9

10

11

128

Yes

No

Yes

No

No

Yes

No

No

No

990

 ______ ______ ______ ______ ______ ______ ______ ______ ______

1586

 ______ ______ ______ ______ ______ ______ ______ ______ ______

275

 ______ ______ ______ ______ ______ ______ ______ ______ ______

6686

 ______ ______ ______ ______ ______ ______ ______ ______ ______

639210

 ______ ______ ______ ______ ______ ______ ______ ______ ______

429714

 ______ ______ ______ ______ ______ ______ ______ ______ ______

2856

 ______ ______ ______ ______ ______ ______ ______ ______ ______

3060

 ______ ______ ______ ______ ______ ______ ______ ______ ______

406839

 ______ ______ ______ ______ ______ ______ ______ ______ ______

State if the following is a prime number?

161

Test the divisibility of the following number by 11:

901351

Which of the following numbers is divisible by 6?

Test the divisibility of the following numbers by 5:

723405

In the following number, replace * by the smallest number to make it divisible by 11:

1723*4

Test the divisibility of the following numbers by 6:

46523

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