The prime factorization of 45 = 5 x 9 25110 is divisible by 5 as ‘0’ is at its unit place. 25110 is divisible by 9 as sum of digits is divisible by 9. Therefore, the number must be divisible by 5 x 9 = 45 https://www.tiwariacademy.com/ncert-solutions/class-6/maths/chapter-3/
The prime factorization of 45 = 5 x 9
25110 is divisible by 5 as ‘0’ is at its unit place.
25110 is divisible by 9 as sum of digits is divisible by 9.
Therefore, the number must be divisible by 5 x 9 = 45
3 + 5 = 8 and 8 is divisible by 4. 5 + 7 = 12 and 12 is divisible by 4. 7 + 9 = 16 and 16 is divisible by 4. 9 + 11 = 20 and 20 is divisible by 4. https://www.tiwariacademy.com/ncert-solutions/class-6/maths/chapter-3/
3 + 5 = 8 and 8 is divisible by 4.
5 + 7 = 12 and 12 is divisible by 4.
7 + 9 = 16 and 16 is divisible by 4.
9 + 11 = 20 and 20 is divisible by 4.
Among the three consecutive numbers, there must be one even number and one multiple of 3. Thus, the product must be multiple of 6. Example: (i) 2 x 3 x 4 = 24 (ii) 4 x 5 x 6 = 120 https://www.tiwariacademy.com/ncert-solutions/class-6/maths/chapter-3/
Among the three consecutive numbers, there must be one even number and one multiple of 3. Thus, the product must be multiple of 6.
Example: (i) 2 x 3 x 4 = 24
(ii) 4 x 5 x 6 = 120
18 is divisible by both 2 and 3. It is also divisible by 2 x 3 = 6. Similarly, a number is divisible by 4 and 6. Can we say that the number must be divisible by 4 x 6 = 24? If not, give an example to justify your answer.
No. Number 12 is divisible by both 6 and 4 but 12 is not divisible by 24. https://www.tiwariacademy.com/ncert-solutions/class-6/maths/chapter-3/
No. Number 12 is divisible by both 6 and 4 but 12 is not divisible by 24.
https://www.tiwariacademy.com/ncert-solutions/class-6/maths/chapter-3/
See lessDetermine if 25110 is divisible by 45. [Hint: 5 and 9 are co-prime numbers. Test the divisibility of the number by 5 and 9.]
The prime factorization of 45 = 5 x 9 25110 is divisible by 5 as ‘0’ is at its unit place. 25110 is divisible by 9 as sum of digits is divisible by 9. Therefore, the number must be divisible by 5 x 9 = 45 https://www.tiwariacademy.com/ncert-solutions/class-6/maths/chapter-3/
The prime factorization of 45 = 5 x 9
25110 is divisible by 5 as ‘0’ is at its unit place.
25110 is divisible by 9 as sum of digits is divisible by 9.
Therefore, the number must be divisible by 5 x 9 = 45
https://www.tiwariacademy.com/ncert-solutions/class-6/maths/chapter-3/
See lessIn which of the following expressions, prime factorization has been done: (a) 24 = 2 x 3 x 4 (b) 56 = 7 x 2 x 2 x 2 (c) 70 = 2 x 5 x 7 (d) 54 = 2 x 3 x 9
In expressions (b) and (c), prime factorization has been done. https://www.tiwariacademy.com/ncert-solutions/class-6/maths/chapter-3/
In expressions (b) and (c), prime factorization has been done.
https://www.tiwariacademy.com/ncert-solutions/class-6/maths/chapter-3/
See lessThe sum of two consecutive odd numbers is always divisible by 4. Verify this statement with the help of some examples.
3 + 5 = 8 and 8 is divisible by 4. 5 + 7 = 12 and 12 is divisible by 4. 7 + 9 = 16 and 16 is divisible by 4. 9 + 11 = 20 and 20 is divisible by 4. https://www.tiwariacademy.com/ncert-solutions/class-6/maths/chapter-3/
3 + 5 = 8 and 8 is divisible by 4.
5 + 7 = 12 and 12 is divisible by 4.
7 + 9 = 16 and 16 is divisible by 4.
9 + 11 = 20 and 20 is divisible by 4.
https://www.tiwariacademy.com/ncert-solutions/class-6/maths/chapter-3/
See lessThe product of three consecutive numbers is always divisible by 6. Verify this statement with the help of some examples.
Among the three consecutive numbers, there must be one even number and one multiple of 3. Thus, the product must be multiple of 6. Example: (i) 2 x 3 x 4 = 24 (ii) 4 x 5 x 6 = 120 https://www.tiwariacademy.com/ncert-solutions/class-6/maths/chapter-3/
Among the three consecutive numbers, there must be one even number and one multiple of 3. Thus, the product must be multiple of 6.
Example: (i) 2 x 3 x 4 = 24
(ii) 4 x 5 x 6 = 120
https://www.tiwariacademy.com/ncert-solutions/class-6/maths/chapter-3/
See less