Is 53240 a perfect cube if not, then by which it must be multiplied to get 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?
  • 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?
  • Which smallest natural number should divide 1188 so that the quotient is a perfect cube 3?
  • What is the smallest number by which 1600 divided so that the quotient is a perfect cube?
  • How do you find the smallest number to be divided to get a perfect cube?
  • Is 31944 a perfect cube if not then by which smallest natural number should 31944 be divided so that the quotient is a perfect cube?
  • What should be divided by 53240 to make it a perfect square?
  • Is 6000 a perfect cube if not then by which smallest natural number?
  • Is 392a perfect cube if not then by which smallest natural number by 392 must be Multipliedso that the product is a perfect cube?

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Mohammed

Guys, does anyone know the answer?

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?
  • Which smallest natural number should divide 1188 so that the quotient is a perfect cube 3?
  • What is the smallest number by which 1600 divided so that the quotient is a perfect cube?
  • How do you find the smallest number to be divided to get 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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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 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.

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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.

Which smallest natural number should divide 1188 so that the quotient is a perfect cube 3?

Hence the smallest natural number by which 1188 should be divided to make it a perfect cube is 44. And the resulting perfect cube is 1188 ÷ 44 = 27 (=33 ).

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.

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..

Is 31944 a perfect cube if not then by which smallest natural number should 31944 be divided so that the quotient is a perfect cube?

If not then by which smallest natural number should 31944 be divided so that the quotient is a perfect cube? Since, the prime factors of 31944 do not appear in triples as 3 is left over. ∴ 10648 is a perfect cube. Thus, the required least number = 3.

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.

Is 6000 a perfect cube if not then by which smallest natural number?

60006=1000 which is a perfect cube.

Is 392a perfect cube if not then by which smallest natural number by 392 must be Multipliedso that the product is a perfect cube?

Hence, 7 is the smallest number that should be multiplied to 392 to give a perfect cube.

Is 53240 a perfect cube if not then find the smallest natural number by which the following number must be multiplied to obtain a perfect cube?

So, 53240 is not a perfect cube. In the factorisation 5 appears only one time. If we divide the number by 5, then the prime factorisation of the quotient will not contain 5. Hence the smallest number by which 53240 should be divided to make it a perfect cube is 5.

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

What should be divided by 53240 to make it a perfect cube? 53240/5 = 10648 is a perfect cube. 9.

Is 68600 a perfect cube if not find the smallest number to be multiplied to make it a perfect cube?

Hence, the smallest number by which 68600 must be multiplied to obtain a perfect cube is 5.

How do you know if a cube is perfect or not?

In order to check whether a number is a perfect cube or not, we find its prime factors and group together triplets of the prime factors. If no factor is left out then the number is a perfect cube. However if one of the prime factors is a single factor or a double factor then the number is not a perfect cube.