Contents

- 1 Mẹo về What is the smallest number by which 8640 must be divided so that the quotient is a perfect square? Mới Nhất
- 2 What is the smallest number by which 8640 must be divided so that the quotient is a perfect cube?
- 3 The correct option is C 5 336453121534053135345315551Using prime factorization method we have, 3645=3×3×3×3×3×3×5Grouping in pairs we get (3×3)×(3×3)×(3×3)×5 ∴ We have to multiply 3645 by 5 to get a
perfect square.
- 3.1 What is the smallest number that should divide 3645 to get a perfect cube?
- 3.2 Is 3645 a perfect cube?
- 3.3 Is 3645 a perfect square?
- 3.4 What should be divided from 3645 to get a perfect square?
- 3.5 What is the smallest number by which 8640 must be divided to make it a perfect square?
- 3.6 What is the perfect cube of 8640?
- 3.7 Which smallest number should 42592 be divided so that the quotient is a perfect cube?
- 3.8 What is least number by which 13720 must be divided so the quotient is a perfect cube?
- 3.9 What least number Must 8640 be divided so that the quotient is a perfect square?
- 3.10 What is the perfect cube of 8640?
- 3.11 What is least number by which 13720 must be divided so the quotient is a perfect cube?
- 3.12 What is the smallest number by which 5184 must be divided so that the quotient is a perfect cube also find the cube root of the quotient so obtained?
- 3.13 Clip What is the smallest number by which 8640 must be divided so that the quotient is a perfect square? ?
- 3.14 Chia Sẻ Link Download What is the smallest number by which 8640 must be divided so that the quotient is a perfect square? miễn phí

## Mẹo về What is the smallest number by which 8640 must be divided so that the quotient is a perfect square? Mới Nhất

You đang tìm kiếm từ khóa What is the smallest number by which 8640 must be divided so that the quotient is a perfect square? được Cập Nhật vào lúc : 2022-10-09 20:10:31 . Với phương châm chia sẻ Mẹo Hướng dẫn trong nội dung bài viết một cách Chi Tiết 2022. Nếu sau khi Read tài liệu vẫn ko hiểu thì hoàn toàn có thể lại phản hồi ở cuối bài để Admin lý giải và hướng dẫn lại nha.

Sum

Nội dung chính

- What is the smallest number by which 8640 must be divided so that the quotient is a perfect cube?
- The correct option is C 5 336453121534053135345315551Using prime factorization method we have, 3645=3×3×3×3×3×3×5Grouping in pairs we get (3×3)×(3×3)×(3×3)×5 ∴ We have to multiply 3645 by 5 to get a

perfect square. - What is the smallest number that should divide 3645 to get a perfect cube?
- Is 3645 a perfect cube?
- Is 3645 a perfect square?
- What should be divided from 3645 to get a perfect square?
- What is the smallest number by which 8640 must be divided to make it a perfect square?
- What is the perfect cube of 8640?
- Which smallest number should 42592 be divided so that the quotient is a perfect cube?
- What is least number by which 13720 must be divided so the quotient is a perfect cube?
- What least number Must 8640 be divided so that the quotient is a perfect square?
- What is the perfect cube of 8640?
- What is least number by which 13720 must be divided so the quotient is a perfect cube?
- What is the smallest number by which 5184 must be divided so that the quotient is a perfect cube also find the cube root of the quotient so obtained?

With what least number must 8640 be divided so that the quotient is a perfect cube?

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#### Solution

The prime factors of 8640 are

2

8640

2

4320

2

2160

2

540

2

270

3

135

3

45

3

15

5

5

1

= 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5

= (2 x 2 x 2) x (2 x 2 x 2) x (3 x 3 x 3) x 5

Clearly, 8640 must be divided by 5.

Concept: Cube Root Through Prime Factorisation Method

Is there an error in this question or solution?

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Chapter 4: Cubes and Cube Roots – Exercise 4 (A) [Page 48]

Q.

10Q

9Q 11

#### APPEARS IN

Selina Concise Mathematics Class 8 ICSE

Chapter 4 Cubes and Cube Roots

Exercise 4 (A) | Q. 10 | Page 48

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Nội dung chính

Nội dung chính

- What is the smallest number by which 8640 must be divided so that the quotient is a perfect cube?
- The correct option is C 5 336453121534053135345315551Using prime

factorization method we have, 3645=3×3×3×3×3×3×5Grouping in pairs we get (3×3)×(3×3)×(3×3)×5 ∴ We have to multiply 3645 by 5 to get a perfect square. - What is the smallest number that should divide 3645 to get a perfect cube?
- Is 3645 a perfect cube?
- Is 3645 a perfect square?
- What should be divided from 3645 to get a perfect square?
- Related Videos
- What is the smallest number by which 8640 must be divided to make it a perfect square?
- What is the perfect cube of 8640?
- Which smallest number should 42592 be divided so that

the quotient is a perfect cube? - What is least number by which 13720 must be divided so the quotient is a perfect cube?

- What is the smallest number by which 8640 must be divided so that the quotient is a perfect cube?
- The

correct option is C 5 336453121534053135345315551Using prime factorization method we have, 3645=3×3×3×3×3×3×5Grouping in pairs we get (3×3)×(3×3)×(3×3)×5 ∴ We have to multiply 3645 by 5 to get a perfect square. - What is the smallest number that should divide 3645 to get a perfect cube?
- Is 3645 a perfect cube?
- Is 3645 a perfect square?
- What should be divided from 3645 to get a perfect square?

## What is the smallest number by which 8640 must be divided so that the quotient is a perfect cube?

Answer

Verified

Hint: This question can be done easily by prime factorization method

In order to find the smallest number to be divided first we

factorize 8640.

$

Rightarrow 8640 = 2 times 2 times 2 times 2 times 2 times 2 times 3 times 3 times 3 times 5 \

Rightarrow 8640 = 2^6 times 3^3 times 5 \ $

In the above factorization, we find that there is a triplet of 2 and 3 but there is no triplet of 5.

Hence, 5 is the smallest number which must divide 8640 so that the quotient is a perfect cube.

Note: Any number which is a perfect cube will be multiple of a triplet of digits. Cube

roots of the number can also be found out by the above mentioned prime factorization method.

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Solution

## The correct option is C 5 336453121534053135345315551Using prime factorization method we have, 3645=3×3×3×3×3×3×5Grouping in pairs we get (3×3)×(3×3)×(3×3)×5 ∴ We have to multiply 3645 by 5 to get a

perfect square.

TextbooksQuestion PapersHome

### What is the smallest number that should divide 3645 to get a perfect cube?

Hence the smallest number by which 3645 must be multiplied to get a perfect cube is 25.

### Is 3645 a perfect cube?

If we look the number 3645, we know that the cube root is 15.38978352009, and

since this is not a whole number, we also know that 3645 is not a perfect cube.

### Is 3645 a perfect square?

Answer. 3645 is not a perfect square.

### What should be divided from 3645 to get a perfect square?

Therefore, The required smallest number by which 3645 must be multiplied to get a perfect square is 5.

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### What is the smallest number by which 8640 must be divided to make it a perfect square?

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 perfect cube of 8640?

8640 is not a perfect cube.

### Which smallest number should 42592 be divided so that the quotient is a perfect cube?

Answer: 4 is the smallest number should 42592 be divided so that the quotient is a perfect cube.

### What is least number by which 13720 must be divided so the quotient is a perfect cube?

Now it gives

the value $ 2^3 times 7^3 = 2744 $ . Hence $ 5 $ is the least number by which $ 13720 $ must be divided so that the quotient is a perfect cube. So, the correct answer is “5”.

### What least number Must 8640 be divided so that the quotient is a perfect square?

Solution. Clearly, 8640 must be divided by 5.

### What is the perfect cube of 8640?

8640 is not a perfect cube.

### What is least number by which 13720 must be divided so the quotient is a perfect cube?

Now it gives the value $ 2^3 times 7^3 = 2744 $ . Hence $ 5 $ is the least number by which $ 13720 $ must be divided so that the quotient is a perfect cube. So, the correct answer is “5”.

### What is the smallest number by which 5184 must be divided so that the quotient is a perfect cube also find the cube root of the quotient so obtained?

We find that in 5184 one ‘3’ is ungrouped. Thus, to convert 5184 to a perfect cube, we need to multiply it by 3×3=9.

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