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## Mẹo về Is 1188 a perfect cube if not by which smallest number should 1188 be divided to obtain a perfect cube? 2022

Pro đang tìm kiếm từ khóa Is 1188 a perfect cube if not by which smallest number should 1188 be divided to obtain a perfect cube? được Update vào lúc : 2022-10-09 18:50:23 . Với phương châm chia sẻ Kinh Nghiệm Hướng dẫn trong nội dung bài viết một cách Chi Tiết 2022. Nếu sau khi Read Post vẫn ko hiểu thì hoàn toàn có thể lại Comment ở cuối bài để Mình lý giải và hướng dẫn lại nha. 1188 = 2 × 2 × 3 × 3 × 3 × 11

Nội dung chính

• Is 1188 a perfect cube? If not, by which smallest natural number
should 1188 be divided so that the quotient is a perfect cube?
• Found the solution, but did not understand the concept?
• The correct option is A 44By prime factorisation,
311883396313224422211
1188=3×3×3×2×2×11
=33×22×11
=33×44 If we divide the given number by 44, the
resultant will be a perfect cube. 118844 = 27 =
33
• Is 1188 a perfect cube if not by which smallest natural number should 1188?
• Is 1188 a perfect cube if not then by which smallest natural number should 53240 be divided so that the quotient is a perfect cube?
• What is the smallest number that must divide 1188 to make it a perfect cube?

The primes 2 and 11 do not appear in groups of three. So, 1188 is not a perfect cube. In the factorisation of 1188, prime 2 appears only two times and the prime 11 appears once. So, if we divide 1188 by 2 × 2 × 11 = 44, then the prime factorisation of the quotient will not contain 2 and 11.

Hence the smallest natural number by which 1188 should be divided to make it a

a perfect cube is 44.

And the resulting perfect cube is 1188 ÷ 44 = 27 (= 33).

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Question

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

Solution:
Thus, is not a perfect cube.
If we divide it by it will be a perfect cube.

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## Found the solution, but did not understand the concept?

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#### Found the solution, but did not understand the concept?

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The smallest number with which 1188 should be divided to get a perfect cube is

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A

44

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24

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Solution

## The correct option is A 44By prime factorisation, 311883396313224422211 1188=3×3×3×2×2×11 =33×22×11 =33×44 If we divide the given number by 44, the resultant will be a perfect cube. 118844 = 27 = 33

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### Is 1188 a perfect cube if not by which smallest natural number should 1188?

We see that 1188 = 2 × 2 × 3 × 3 × 3 × 11 Since 2 & 5 does not occur in triplets, ∴ 1188 is not a perfect cube. To make it a perfect cube, We divide by 2 × 2 × 11 = 44 1188/44= (2 × 2 × 3 × 3 × 3 × 11)/44 27 = 3 × 3 × 3 Since all factor occurs in triplets.

### Is 1188 a perfect cube if not then by which smallest natural number should 53240 be divided so that the quotient is a perfect cube?

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

### What is the smallest number that must divide 1188 to make it a perfect cube?

118844 = 27 = 33.
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