## 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?

#### 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?

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

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?

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.

No worries! We‘ve got your back. Try BYJU‘S không lấy phí classes today!

No worries! We‘ve got your back. Try BYJU‘S không lấy phí classes today!

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S không lấy phí classes today!

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.

Getting
Image

Course

NCERT

Class 12Class 11Class 10Class 9Class 8Class 7Class 6

IIT JEE

Exam

NEET

Neet Previous Year (Year Wise)Physics Previous YearChemistry Previous YearBiology Previous YearNeet All Sample PapersSample Papers BiologySample Papers PhysicsSample Papers Chemistry

Class 12Class 11Class 10Class 9Class 8Class 7Class 6

AppTechnothlon-2022

Logout

Register now for special offers

+91

trang chủ

>

English

>

Class 8

>

Maths

>

Chapter

>

Square Root And Cube Roots

>

Find the smallest number by wh…

Updated On: 27-06-2022

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

643737184

0

6.4 K

2:07

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

40380682

0

700

4:47

Examine if 1512 is a perfect cube .If not find the smallest number by which it must be multiplied so that the product is a perfect cube .Also find the smallest number by which it must be divided so that the quotient is a perfect cube.

645950352

0

9.5 K

4:47

Examine
if 1512 is a perfect cube .If not find the smallest number by which it must be multiplied so that the product is a perfect cube .Also find the smallest number by which it must be divided so that the quotient is a perfect cube.

1533923

0

4.9 K

5:14

By which smallest number must the following numbers be divided so that the quotient is a perfect cube? (I)675
(ii)    8640           (iii) 1600     (iv)  8788

642589152

0

3.8 K

6:15

By which smallest number must the following numbers be divided so that the quotient is a perfect cube? (I)675      (ii)    8640           (iii) 1600     (iv) 8788

642589200

800

7.3 K

2:53

What is the smallest number by which 8192 must be divided so that quotient is a perfect cube? Also find the cube root of the quotient so obtained.

Follow
Us:

Popular Chapters by Class:

Class 6

AlgebraBasic Geometrical IdeasData HandlingDecimalsFractions

Class 7

Algebraic ExpressionsComparing QuantitiesCongruence of TrianglesData HandlingExponents and Powers

Class 8

Algebraic Expressions and IdentitiesComparing QuantitiesCubes and Cube RootsData HandlingDirect and Inverse Proportions

Class 9

Areas of Parallelograms and TrianglesCirclesCoordinate GeometryHerons FormulaIntroduction to
Euclids Geometry

Class 10

Areas Related to CirclesArithmetic ProgressionsCirclesCoordinate GeometryIntroduction to Trigonometry

Class 11

Binomial TheoremComplex Numbers and Quadratic EquationsConic SectionsIntroduction to Three Dimensional GeometryLimits and Derivatives

Class 12

Application of DerivativesApplication of IntegralsContinuity and DifferentiabilityDeterminantsDifferential Equations

Disclosure

### 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.
Tải thêm tài liệu liên quan đến nội dung bài viết What is the smallest number by which 8640 must be divided so that the quotient is a perfect square?

7
0
Chia sẻ

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

You vừa đọc nội dung bài viết Với Một số hướng dẫn một cách rõ ràng hơn về Review What is the smallest number by which 8640 must be divided so that the quotient is a perfect square? tiên tiến và phát triển nhất

### 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

Quý khách đang tìm một số trong những Share Link Cập nhật What is the smallest number by which 8640 must be divided so that the quotient is a perfect square? Free.

#### Thảo Luận vướng mắc về What is the smallest number by which 8640 must be divided so that the quotient is a perfect square?

Nếu sau khi đọc nội dung bài viết What is the smallest number by which 8640 must be divided so that the quotient is a perfect square? vẫn chưa hiểu thì hoàn toàn có thể lại phản hồi ở cuối bài để Ad lý giải và hướng dẫn lại nha
#smallest #number #divided #quotient #perfect #square