**What Is The Cubed Root Of 729? The cube root of 729 is the number which when multiplied by itself three times gives the product as 729. Since 729 can be expressed as 3 × 3 × 3 × 3 × 3 × 3. Therefore, the cube root of 729 = ∛(3 × 3 × 3 × 3 × 3 × 3) = 9.**

**How do you find the cube root of 729? **The cube root of 729 is the number which when multiplied by itself three times gives the product as 729. Since 729 can be expressed as 3 × 3 × 3 × 3 × 3 × 3. Therefore, the cube root of 729 = ∛(3 × 3 × 3 × 3 × 3 × 3) = 9.

**How do you find the cube root of 729 by prime factorization? **Cube root of 729 by prime factorization method is 9.

Contents

- 1 IS 729 a perfect cube give reason?
- 2 What table does 729 come in?
- 3 Which of the following is not a perfect cube 729?
- 4 What is the smallest number by which 704 must be divided to obtain a perfect cube?
- 5 What is the cube root of 15625 *?
- 6 IS 864 a perfect cube?
- 7 Which of the following numbers are perfect cubes?
- 8 Which of the following are not perfect cubes?
- 9 Is 704 a cube number explain?
- 10 What is the prime factorization of 704?
- 11 What is a cube root of 512?
- 12 What is the cube of 35937?
- 13 What is the cube root of 512 by prime factorization method?
- 14 How do you get 27 in multiplication?

## IS 729 a perfect cube give reason?

∴ 243 is not a perfect cube. Now, 729 becomes a perfect cube. Thus, the smallest required number to multiply 243 to make it a perfect cube is 3.

## What table does 729 come in?

729 = 1, 3, 9, 27, 81, 243, and 729.

## Which of the following is not a perfect cube 729?

After grouping the prime factors in triplets, it’s seen that no factor is left. Thus, 729 is a perfect cube. After grouping the prime factors in triplets, it’s seen that one factor 5 is left without grouping. Thus, 8640 is not a perfect cube.

## What is the smallest number by which 704 must be divided to obtain a perfect cube?

The smallest number by which 704 must be multiplied to obtain a perfect cube is 11.

## What is the cube root of 15625 *?

Therefore, 25 is the cube root of 15625.

## IS 864 a perfect cube?

The number 864 on prime factorization gives 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3. Here, the prime factor 2 is not in the power of 3. Therefore the cube root of 864 is irrational, hence 864 is not a perfect cube.

## Which of the following numbers are perfect cubes?

What are first ten perfect cube numbers? The first ten cube numbers are 1, 8, 27, 64, 125, 216, 343, 512, 729 and 1000.

## Which of the following are not perfect cubes?

Which of the following numbers are not perfect cubes? (i) 216 (ii) 128 (iii) 1000 (iv) 100 (v) 46656. Hence, 216 is cube of 6. Here, 128 cannot be arranged into triplets of equal factors, we are left of with one factors 2 . ∴ 128 is not a perfect cube.

## Is 704 a cube number explain?

Here, the prime factor 11 is not grouped as a triplet. Hence, we divide 704 by 11, so that the obtained number becomes a perfect cube. Hence the smallest number by which 704 should be divided to make a perfect cube is 11.

## What is the prime factorization of 704?

Thus, the Prime Factors of 704 are: 2, 2, 2, 2, 2, 2, 11.

## What is a cube root of 512?

Cube root of 512, 3√512 = 8 Since 512 is a perfect cube, we will use here the prime factorisation method, to get the cube root easily.

## What is the cube of 35937?

Therefore, the cube root of 35937 is 33.

## What is the cube root of 512 by prime factorization method?

Therefore, the cube root of 512 by prime factorization is (2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2)1/3 = 8.

## How do you get 27 in multiplication?

1 x 27 = 27. 3 x 9 = 27. 9 x 3 = 27.