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Page 1 43 ?? Write the divisibility tests for 2, 5 and 10. ?? Read the numbers given below. Which of these numbers are divisible by 2, by 5 or by 10? Write them in the empty boxes. 125, 364, 475, 750, 800, 628, 206, 508, 7009, 5345, 8710 Divisible by 2 Divisible by 5 Divisible by 10 Divisibility Tests Let us study some more tests. Complete the table below. Number Sum of the digits in the number Is the sum divisible by 3? Is the given number divisible by 3? 63 6 + 3 = 9 ?? ?? 872 17 × × 91 552 9336 4527 What can we conclude from this? Divisibility test for 3 : If the sum of the digits in a number is divisible by 3, then the number is divisible by 3. 8 Divisibility Let’s recall. Let’s learn. Now I know - Page 2 43 ?? Write the divisibility tests for 2, 5 and 10. ?? Read the numbers given below. Which of these numbers are divisible by 2, by 5 or by 10? Write them in the empty boxes. 125, 364, 475, 750, 800, 628, 206, 508, 7009, 5345, 8710 Divisible by 2 Divisible by 5 Divisible by 10 Divisibility Tests Let us study some more tests. Complete the table below. Number Sum of the digits in the number Is the sum divisible by 3? Is the given number divisible by 3? 63 6 + 3 = 9 ?? ?? 872 17 × × 91 552 9336 4527 What can we conclude from this? Divisibility test for 3 : If the sum of the digits in a number is divisible by 3, then the number is divisible by 3. 8 Divisibility Let’s recall. Let’s learn. Now I know - 44 Complete the following table. Number Divide the number by 4. Is it completely divisible? The number formed by the digits in the tens and units places Is this number divisible by 4? 992 ?? 92 ?? 7314 6448 8116 7773 3024 What can we conclude from this? Divisibility test for 4 : If the number formed by the digits in the tens and units places of the number is divisible by 4, then that number is divisible by 4. Complete the following table. Number Divide the number by 9. Is it completely divisible? Sum of the digits in the number Is the sum divisible by 9? 1980 ?? 1 + 9 + 8 + 0 =18 ?? 2999 × 29 × 5004 13389 7578 69993 What can we conclude from this? Let’s learn. Let’s learn. Now I know - Page 3 43 ?? Write the divisibility tests for 2, 5 and 10. ?? Read the numbers given below. Which of these numbers are divisible by 2, by 5 or by 10? Write them in the empty boxes. 125, 364, 475, 750, 800, 628, 206, 508, 7009, 5345, 8710 Divisible by 2 Divisible by 5 Divisible by 10 Divisibility Tests Let us study some more tests. Complete the table below. Number Sum of the digits in the number Is the sum divisible by 3? Is the given number divisible by 3? 63 6 + 3 = 9 ?? ?? 872 17 × × 91 552 9336 4527 What can we conclude from this? Divisibility test for 3 : If the sum of the digits in a number is divisible by 3, then the number is divisible by 3. 8 Divisibility Let’s recall. Let’s learn. Now I know - 44 Complete the following table. Number Divide the number by 4. Is it completely divisible? The number formed by the digits in the tens and units places Is this number divisible by 4? 992 ?? 92 ?? 7314 6448 8116 7773 3024 What can we conclude from this? Divisibility test for 4 : If the number formed by the digits in the tens and units places of the number is divisible by 4, then that number is divisible by 4. Complete the following table. Number Divide the number by 9. Is it completely divisible? Sum of the digits in the number Is the sum divisible by 9? 1980 ?? 1 + 9 + 8 + 0 =18 ?? 2999 × 29 × 5004 13389 7578 69993 What can we conclude from this? Let’s learn. Let’s learn. Now I know - 45 Divisibility test for 9 : If the sum of the digits of a number is completely divisible by 9, then the number is divisible by 9. ?? There are some flowering trees in a garden. Each tree bears many flowers with the same number printed on it. Three children took a basket each to pick flowers. Each basket has one of the numbers, 3, 4 or 9 on it. Each child picks those flowers which have numbers divisible by the number on his or her basket. He/She takes only 1 flower from each tree. Can you tell which numbers the flowers in each basket will have ? ?????? Practice Set 22 111 220 249 999 432 336 666 450 369 435 356 960 72 123 108 90 3 9 4 Now I know -Read More
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FAQs on Textbook: Divisibility - Mathematics Class 6 (Maharashtra Board)
| 1. What is divisibility, and why is it important in mathematics? |  |
Ans. Divisibility refers to the ability of one number to be divided by another number without leaving a remainder. It is important in mathematics because it helps in understanding the relationships between numbers, simplifying fractions, solving equations, and factoring. Divisibility also plays a key role in number theory and helps in identifying prime numbers.
| 2. How can I determine if a number is divisible by 2, 3, 5, or 10? | |
Ans. To determine if a number is divisible by:
- <b>2</b>: The number must be even, meaning its last digit is 0, 2, 4, 6, or 8.
- <b>3</b>: The sum of the digits of the number must be divisible by 3.
- <b>5</b>: The last digit of the number must be either 0 or 5.
- <b>10</b>: The last digit of the number must be 0.
| 3. What are some common divisibility rules that can help in solving math problems? | |
Ans. Some common divisibility rules include:
- For <b>2</b>: A number is divisible if it ends in 0, 2, 4, 6, or 8.
- For <b>3</b>: A number is divisible if the sum of its digits is divisible by 3.
- For <b>4</b>: A number is divisible if the last two digits form a number that is divisible by 4.
- For <b>6</b>: A number is divisible if it meets the criteria for both 2 and 3.
- For <b>9</b>: A number is divisible if the sum of its digits is divisible by 9.
| 4. Can you explain the concept of prime and composite numbers in relation to divisibility? | |
Ans. Prime numbers are numbers greater than 1 that have exactly two distinct positive divisors: 1 and themselves. For example, 2, 3, 5, and 7 are prime numbers. Composite numbers, on the other hand, have more than two divisors. For example, 4 (divisors: 1, 2, 4) and 6 (divisors: 1, 2, 3, 6) are composite numbers. Understanding divisibility helps in identifying these types of numbers.
| 5. How can I practice divisibility rules effectively for exams? | |
Ans. To practice divisibility rules effectively, you can:
- Work on exercises that require identifying divisibility for various numbers.
- Create flashcards for different rules to memorize them easily.
- Solve word problems that involve divisibility.
- Use online resources or math apps that provide practice questions and quizzes.
- Discuss problems with peers or teachers to gain different perspectives on solving them.
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Sep 23, 2025
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