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Bùi Mạnh Hùng đang tìm kiếm từ khóa What least number must be multiplied to 6912 so that the product becomes a perfect square? được Cập Nhật vào lúc : 2022-10-20 04:45:12 . Với phương châm chia sẻ Thủ Thuật về trong nội dung bài viết một cách Chi Tiết 2022. Nếu sau khi tham khảo tài liệu vẫn ko hiểu thì hoàn toàn có thể lại phản hồi ở cuối bài để Tác giả lý giải và hướng dẫn lại nha.Solution:
Nội dung chính- Find the smallest number by which each of the following numbers must be divided to obtain a perfect cube (i) 81 (ii) 128 (iii) 135 (iv) 192 (v) 704What is the perfect cube of 6912?What is the smallest number by which 6912 must be multiplied to make it a perfect square?What is the least number by which 6750 must be divided so the quotient is perfect cube?What is the smallest number by which the following should be divided to get a perfect cube 56?Is 6912
a perfect cube?Which is the smallest number that must be multiplied with 5400 to make it a perfect cube?What smallest number by which 7803 be multiplied with so that the product becomes a perfect cube?What is the smallest number by which 6912 must be multiplied so that
the 5 The product is a perfect cube?What is the smallest number by which 6750 should be divided to get a perfect cube?Is 6750 a
perfect cube?What is the smallest number by which 3087 may be multiplied so that the product is a perfect cube?What is the least number by which 8640 is divided the quotient?What is the least number that can be multiplied to 6912 to make it a perfect cube?What is the perfect cube of 6912?What is the smallest number by which 6912?What is the smallest number by which 6912 may be divided so that the product is a perfect square?
Nội dung chính
- Find the smallest number by which each of the following numbers must be divided to obtain a perfect cube (i)
81 (ii) 128 (iii) 135 (iv) 192 (v) 704What is the perfect cube of 6912?What is the smallest number by which 6912 must be multiplied to make it a perfect square?What is the least number by which 6750 must be divided so the quotient is perfect cube?What is the smallest number by which the following should be divided to get a perfect cube 56?Is 6912 a perfect cube?Which is the smallest number that must be multiplied with
5400 to make it a perfect cube?What smallest number by which 7803 be multiplied with so that the product becomes a perfect cube?What is the smallest number by which 6912 must be multiplied so that the 5 The product is a perfect cube?What is the smallest number by which 6750 should be divided to get a perfect cube?Is 6750 a
perfect cube?What is the smallest number by which 3087 may be multiplied so that the product is a perfect cube?What is the least number by which 8640 is divided the quotient?
Nội dung chính
- Find the smallest number by which each of the following numbers must be divided to obtain a perfect cube (i) 81 (ii) 128 (iii) 135 (iv) 192 (v) 704What is the perfect cube
of 6912?What is the smallest number by which 6912 must be multiplied to make it a perfect square?What is the least number by which 6750 must be divided so the quotient is perfect cube?What is the smallest number by which the following should be divided to get a perfect cube 56?Is 6912 a perfect cube?Which is the smallest number that must be multiplied with 5400 to make it a perfect cube?What smallest number by which 7803 be multiplied with so
that the product becomes a perfect cube?What is the smallest number by which 6912 must be multiplied so that the 5 The product is a perfect cube?
Nội dung chính
- Find the smallest number by which each of the following numbers must be divided to obtain a perfect cube (i) 81 (ii) 128 (iii) 135 (iv) 192 (v) 704Related VideosWhat is the perfect cube of 6912?What is the smallest number by which 6912 must be multiplied to make it a perfect
square?What is the least number by which 6750 must be divided so the quotient is perfect cube?What is the smallest number by which the following should be divided to get a perfect cube 56?
A number is a perfect cube only when each factor in the prime factorization is grouped in triples. Using this concept, the smallest number can be identified.
(i) 81
81 = 3 × 3 × 3 × 3
= 33 × 3
Here, the prime factor 3 is not grouped as a triplet. Hence, we divide 81 by 3, so that the obtained number becomes a perfect cube.
Thus, 81 ÷ 3 = 27 = 33 is a perfect cube.
Hence the smallest number by which 81 should be divided to make a perfect cube is 3.
(ii) 128
128 = 2 × 2 × 2 × 2 × 2 × 2 × 2
= 23 × 23 × 2
Here, the prime factor 2 is not grouped as a triplet. Hence, we divide 128 by 2, so that the obtained number becomes a perfect cube.
Thus, 128 ÷ 2 = 64 = 43 is a perfect cube.
Hence the smallest number by which 128 should be divided to make a perfect cube is 2.
(iii) 135
135 = 3 × 3 × 3 × 5
= 33 × 5
Here, the prime factor 5 is not a triplet. Hence, we divide 135 by 5, so that the obtained number becomes a perfect cube.
135 ÷ 5 = 27 = 33 is a perfect cube.
Hence the smallest number by which 135 should be divided to make a perfect cube is 5.
(iv) 192
192 = 2 × 2 × 2 × 2 × 2 × 2 × 3
= 23 × 23 × 3
Here, the prime factor 3 is not grouped as a triplet. Hence, we divide 192 by 3, so that the obtained number becomes a perfect cube.
192 ÷ 3 = 64 = 43 is a perfect cube
Hence the smallest number by which 192 should be divided to make a perfect cube is 3.
(v) 704
704 = 2 × 2 × 2 × 2 × 2 × 2 × 11
= 23 × 23 × 11
Here, the prime factor 11 is not grouped as a triplet. Hence, we divide 704 by 11, so that the obtained number becomes a perfect cube.
Thus, 704 ÷ 11 = 64 = 43 is a perfect cube
Hence the smallest number by which 704 should be divided to make a perfect cube is 11.
☛ Check: NCERT Solutions for Class 8 Maths Chapter 7
Video Solution:
Find the smallest number by which each of the following numbers must be divided to obtain a perfect cube (i) 81 (ii) 128 (iii) 135 (iv) 192 (v) 704
[embed]https://www.youtube.com/watch?v=FqNogxG_CPc[/embed]
NCERT Solutions for Class 8 Maths Chapter 7 Exercise 7.1 Question 3
Summary:
The smallest number by which each of the following numbers must be divided to obtain a perfect cube (i) 81 (ii) 128 (iii) 135 (iv) 192 (v) 704 are (i) 3, (ii) 2, (iii) 5, (iv) 3, and (v) 11
☛ Related Questions:
- Which of the following
numbers are not perfect cubes?(i) 216 (ii) 128 (iii) 1000 (iv) 100 (v) 46656Find the smallest number by which each of the following numbers must be multiplied to obtain a perfect cube.(i) 243 (ii) 256 (iii) 72 (iv) 675 (v) 100Parikshit makes a cuboid of plasticine of sides 5 cm, 2 cm, 5 cm. How many such cuboids will he need to form a cube?Find the cube root of each of the following numbers by prime factorization method. (i) 64 (ii) 512 (iii) 10648 (iv) 27000 (v) 15625
(vi) 13824 (vii) 110592 (viii) 46656 (ix) 175616 (x) 91125
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By which smallest number 6912 ...
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Answer : C
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6912 को किस छोटी-से-छोटी संख्या से गुणा करें कि गुणनफल पूर्ण घन हो ?
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985527 में किस छोटी - से - छोटी संख्या से भाग दें कि संख्या पूर्ण घन बन जाए ?
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What is a smallest number by which 1600 is to be divided so that the quotient is a perfect cube?
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The smallest number by which 243000 be divided so that the quotient is a perfect cube is
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Find the smallest number by which `10368` be divided, so that the result is a perfect square. Also, find the square root of the resulting number.
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What is the perfect cube of 6912?
If we look the number 6912, we know that the cube root is 19.048812623618, and since this is not a whole number, we also know that 6912 is not a perfect cube.
What is the smallest number by which 6912 must be multiplied to make it a perfect square?
So,the smallest whole number by which 6912 should be multiplied to make it perfect square is 3.
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 the following should be divided to get a perfect cube 56?
Hence, the smallest number by which 135 must be divided to obtain a perfect cube is 5.
Is 6912 a perfect cube?
If we look the number 6912, we know that the cube root is 19.048812623618, and since this is not a whole number, we also know that 6912 is not a perfect cube.
Which is the smallest number that must be multiplied with 5400 to make it a perfect cube?
We should multiply 5400 with 5 to get a perfect cube.
What smallest number by which 7803 be multiplied with so that the product becomes a perfect cube?
Hence, the smallest number by which 7803 must be multiplied to obtain a perfect cube is 17.
What is the smallest number by which 6912 must be multiplied so that the 5 The product is a perfect cube?
So , 4 is the smallest no. which must be divided 6912 so that the quotient obtained will be a perfect cube.
What is the smallest number by which 6750 should be divided to get a perfect cube?
Therefore, 6750 must be divided by 4 so that that the quotient becomes a perfect cube..
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 3087 may be multiplied so that the product is a perfect cube?
Hence, the smallest number by which 3087 must be multiplied to obtain a perfect cube is 3.
What is the least number by which 8640 is divided the quotient?
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 least number that can be multiplied to 6912 to make it a perfect cube?
Answer: No 6912 is not a perfect cube. It should be multiplied by 2. Thus , it should be multiplied by 2 to make it a perfect cube.What is the perfect cube of 6912?
If we look the number 6912, we know that the cube root is 19.048812623618, and since this is not a whole number, we also know that 6912 is not a perfect cube.What is the smallest number by which 6912?
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, the smallest number to get 1728 which is a cube of 12.What is the smallest number by which 6912 may be divided so that the product is a perfect square?
6912=2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3. It is a perfect square of 48. Hence, the smallest number is 3 by which 6912 should be divided to get a perfect square. Tải thêm tài liệu liên quan đến nội dung bài viết What least number must be multiplied to 6912 so that the product becomes a perfect square?