Which smallest natural number should 17496 be divided so that the quotient is a perfect cube? 2021

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  • Is 53240 a perfect cube? If not then by which smallest natural numbers should be divided so that the quotient is a perfect cube?

  • Is 53240 a perfect cube? If not then by which smallest natural numbers should be divided so that the quotient is a perfect cube?

  • Example

    3 – Chapter 7 Class 8 Cubes and Cube Roots

  • Davneet Singh

  • Is 53240 a perfect cube? If not, then by which smallest natural number should 53240 be divided so that the quotient is a perfect cube?

  • What should be divided by 53240 to make it a perfect square?

  • How do you find the smallest number to be divided to get a perfect cube?

  • Which smallest natural number should 17496 be divided so that the quotient is a perfect cube?

  • What is the smallest number by which 1600 divided so that the quotient is a perfect cube?

  • What number should 17496 be divided to obtain a perfect cube?

  • What is the smallest number by which 17496 should be divided so that the quotient is a perfect cube?

  • What is the smallest number must be divided so that the quotient is a perfect cube?

  • How do you find the smallest number to be divided to get a perfect cube?


Nội dung chính


  • Is 53240 a perfect cube? If not then by which smallest natural numbers should be divided so that

    the quotient is a perfect cube?

  • Is 53240 a perfect cube? If not then by which smallest natural numbers should be divided so that the quotient is a perfect cube?

  • Example 3 – Chapter 7 Class 8 Cubes and Cube Roots

  • Davneet Singh

  • Is 53240 a perfect cube? If not, then by which smallest natural number should 53240 be divided so that the quotient is a perfect cube?

  • Related Videos

  • What should be divided by 53240 to make it a perfect square?

  • How do you find the smallest number to be divided to get a perfect cube?

  • Which smallest natural number should 17496 be divided so that the quotient is a perfect cube?

  • What is the smallest number by which 1600 divided so that the quotient is a perfect cube?

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Is 53240 a perfect cube? If not then by which smallest natural numbers should be divided so that the quotient is a perfect cube?


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Question


Is 53240 a perfect cube? If not then by which smallest natural numbers should be divided so that the quotient is a perfect cube?


Easy Open in App Solution Verified by Toppr


Prime factorising,  53240=5×2


3 ×11 3 .


We know, a perfect cube has multiples of 3 as powers of prime factors.


The prime factor 5 does

not appear in triplet form.


Therefore, 53240 is not a perfect cube.


Since in the factorization, 5 appears only one time, we must divide the number 53240 by 5, then the quotient is a perfect cube.


∴53240÷5=10648 =22×22×22=22 3


, which is a perfect cube.


∴ The smallest number by which 53240 should be divided to make it a perfect cube is 5.


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Example 3


Example 3 Is 53240

a perfect cube? If not, then by which smallest natural number should 53240 be divided so that the quotient is a perfect cube? We see that 53240 = 2 × 2 × 2 × 5 × 11 × 11 × 11 Here, 5 does not occur in triplets ∴ 53240 is not a perfect cube. So, we divide by 5 to make t



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Example

3 – Chapter 7 Class 8 Cubes and Cube Roots


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Transcript


Example 3 Is 53240 a perfect cube? If not, then by which smallest natural number should 53240 be

divided so that the quotient is a perfect cube? We see that 53240 = 2 × 2 × 2 × 5 × 11 × 11 × 11 Here, 5 does not occur in triplets ∴ 53240 is not a perfect cube. So, we divide by 5 to make triplet So, our number becomes 53240 × 𝟏/𝟓 = 2 × 2 × 2 × 5 × 11 × 11 × 11 × 𝟏/𝟓 = 2 × 2 × 2 × 11 × 11 × 11 Now, it becomes a perfect cube. So, we divide 53240 by 5 to make it a perfect cube



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Is 53240 a perfect cube? If not, then by which smallest natural number should 53240 be divided so that the quotient is a perfect cube?


53240 = 2xx2xx2xx5xx11xx11xx11 =2^3xx11^3xx5 Thus, 53240 is not a perfect cube. If we divide it by 5 it will

a perfect cube.



trang chủ > English > Class 8 > Maths > Chapter >




Cubes And Cube Roots


>


Is 53240 a perfect cube?

If no…


Is 53240 53240


a perfect cube? If not, then by which smallest natural number should


53240 53240


be divided so that the quotient is a perfect cube?


Updated On: 27-06-2022


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Text Solution Open Answer in App Solution


53240=2×2×2×5×11×11×11=


2 3 × 11 3 ×5


53240=2×2×2×5×11×11×11=23×113×5


Thus, 53240 53240


is not a perfect cube.


If we divide it by 5 5


it will a perfect cube.


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Answer


Step by step solution by experts to help you in doubt clearance & scoring excellent marks in exams.


Click here to get PDF DOWNLOAD for all questions and answers of this

chapter – NCERT Class 8 CUBES AND CUBE ROOTS



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571223898 0 3.1 K 3:43


Is 53240 a perfect cube? If

not, then by which smallest natural number should 53240 be divided so that the quotient is a perfect cube?


5056 0 9.7 K 6:00 Is 53240 53240


a perfect cube? If not, then by which smallest natural number should


53240 53240


be divided so that the quotient is a perfect cube?


643098270 0 5.0 K 1:51


ਕੀ 53240 ਇੱਕ ਪੂਰਨ ਘਣ ਹੈ? ਜੇ ਨਹੀਂ, ਤਾਂ 53240 ਨੂੰ ਕਿਹੜੀ ਸਭ ਤੋਂ ਛੋਟੀ ਪ੍ਰਾਕ੍ਰਿਤਕ ਸੰਖਿਆ ਨਾਲ ਵੰਡਿਆ ਜਾਵੇ ਤਾਂ ਕਿ ਭਾਗਫਲ ਇੱਕ ਪੂਰਨ ਘਣ ਪ੍ਰਾਪਤ ਹੋਵੇ?


55631158 700 2.7 K 1:57


क्या 53240 एक पूर्ण घन है ? यदि नहीं, तो 53240 को किस सबसे छोटी प्राकृत संख्या से भाग दिया जाए की भागफल एक पूर्ण हैं प्राप्त हो ?


648147463 100 5.7 K


क्या 1188 एक पूर्ण घन है ? यदि नहीं तो किस सबसे छोटी प्राकृत संख्या से 1188 को भाग दिया जाये कि भागफल एक पूर्ण घन संख्या प्राप्त हो जाए ?


643099317 0 500 2:16


Is 1188 a perfect cube? If not, by which smallest natural number should 1188 be divided so that the quotient is a perfect cube?


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What should be divided by 53240 to make it a perfect square?


So the smallest number by which 53240 must be divided to get a perfect cube is 5.


How do you find the smallest number to be divided to get a perfect cube?



Prime factorising 81, we get,.


We know, a perfect cube has multiples of 3 as powers of prime factors..


Here, number of 3’s is 4..


So we need to divide the factorization by 3 to make 81 a perfect cube..


Hence, the smallest number by which 81 must be divided to obtain a perfect cube is 3..


Which smallest natural number should 17496 be divided so that the quotient is a perfect cube?


17496=3*5832=3*3*1944=3*3*3*648=3*3*3*3*216=3*3*3*3*3*72=3*3*3*3*3*3*24=3*3*3*3*3*3*2*2*2*3 so the smallest number is 3 by which 17496 must be divided to get 5832 whose cube root is 3*3*2=18.


What is the smallest number by which 1600 divided so that the quotient is a perfect cube?


We divide it by 5 to make the quotient a perfect cube, which gives 1728 as quotient which is a perfect cube. Hence, 5 is the required smallest number. Hence, 1600 is not a perfect cube. Hence, 25 is the required smallest number.




What number should 17496 be divided to obtain a perfect cube?


Answer: Divided 3 we get a perfect cube.

What is the smallest number by which 17496 should be divided so that the quotient is a perfect cube?


17496 by 3……

What is the smallest number must be divided so that the quotient is a perfect cube?


Hence 5 is the smallest number by which 8640 must be divided so that the quotient is a perfect cube. Q..

How do you find the smallest number to be divided to get a perfect cube?



Prime factorising 81, we get,.

We know, a perfect cube has multiples of 3 as powers of prime factors..

Here, number of 3’s is 4..

So we need to divide the factorization by 3 to make 81 a perfect cube..

Hence, the smallest number by which 81 must be divided to obtain a perfect cube is 3..


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