Nội dung chính Show
1 AnswersPrime factorisation of 1715 = 5*7*7*7 Similar Questions
Scholr is India's Largest Knowledge Sharing Platform. Send Your Questions to Experts. Prime factorisation of 1715 = 5*7*7*7 500000+ Question Answers 😊 Scholr is India's Largest Knowledge Sharing Platform. Send Your Questions to Experts. Ask Try the new Google Books Check out the new look and enjoy easier access to your favorite features (i) We have, 1536 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 After grouping the prime factors in triplets, it’s seen that one factor 3 is left without grouping. 1536 = (2 × 2 × 2) × (2 × 2 × 2) × (2 × 2 × 2) × 3 So, in order to make it a perfect cube, it must be divided by 3. Thus, the smallest number by which 1536 must be divided to obtain a perfect cube is 3. (ii) We have, 10985 = 5 × 13 × 13 × 13 After grouping the prime factors in triplet, it’s seen that one factor 5 is left without grouping. 10985 = 5 × (13 × 13 × 13) So, it must be divided by 5 in order to get a perfect cube. Thus, the required smallest number is 5. (iii) We have, 28672 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 After grouping the prime factors in triplets, it’s seen that one factor 7 is left without grouping. 28672 = (2 × 2 × 2) × (2 × 2 × 2) × (2 × 2 × 2) × (2 × 2 × 2) × 7 So, it must be divided by 7 in order to get a perfect cube. Thus, the required smallest number is 7. (iv) 13718 = 2 × 19 × 19 × 19 After grouping the prime factors in triplets, it’s seen that one factor 2 is left without grouping. 13718 = 2 × (19 × 19 × 19) So, it must be divided by 2 in order to get a perfect cube. Thus, the required smallest number is 2. Try Numerade free for 7 days Try Numerade free for 7 days Continue Try Numerade free for 7 days Try Numerade free for 7 days Continue Try Numerade free for 7 days Try Numerade free for 7 days Continue Prime factorisation of 1715 = 5*7*7*7 500000+ Question Answers 😊 Scholr is India's Largest Knowledge Sharing Platform. Send Your Questions to Experts. Ask No worries! We‘ve got your back. Try BYJU‘S free classes today! No worries! We‘ve got your back. Try BYJU‘S free classes today! Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses No worries! We‘ve got your back. Try BYJU‘S free classes today! No worries! We‘ve got your back. Try BYJU‘S free classes today! No worries! We‘ve got your back. Try BYJU‘S free classes today! Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses No worries! We‘ve got your back. Try BYJU‘S free classes today! What is the smallest number by which 1715 should be divided so that the quotient is a perfect square cube?∴ We need to divide it by 5, then it becomes cube of 7 i.e 343. What is the least number by which 6750 must be divided so the quotient is perfect cube?Answer: 2 is the smallest number by which 6750 must be divided to get a perfect cube. The perfect cube number is = 3375 and the cube root is 15. What is the smallest number by which 6912 must be divided to make it a perfect cube?To do: To find the smallest number by which 6912 must be divided so that the number formed is a perfect cube. Therefore, we should divide 6912 by 22=4 2 2 = 4 , the smallest number to get 1728 which is a cube of 12 . Is 6750 a perfect cube?Step-by-step explanation: Since 2 is left unpaired, 6750 should be divided by 2 to make it a perfect cube. What is the smallest number by which 6912 must be divided so that the quotient obtained will have a perfect cube root?Given: A number 6912 . To do: To find the smallest number by which 6912 must be divided so that the number formed is a perfect cube. Therefore, we should divide 6912 by 22=4 2 2 = 4 , the smallest number to get 1728 which is a cube of 12 .
What is the smallest number by which 6750 must be multiplied so that the product is a perfect cube?Hence, the smallest number by which 675 must be multiplied to obtain a perfect cube is 5.
What is the smallest number that you must multiply 6750 by in order to get a perfect square which is greater than 6750?30 is the smallest number which multiplied to 6750 to make a perfect square.
What is the smallest number by which 8640 must be divided so that the?Hence, 5 is the smallest number by which 8640 must be divided, so that the quotient is a perfect cube. Was this answer helpful?
|
What is the smallest number by which 6750 must be divided so that the quotient is a perfect cube?
Postagens relacionadas
direito autoral © 2024 comojogaruno Inc.
