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Which is the smallest number by which 9 should be multiplied to get a perfect cube number?

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Which is the smallest number by which 9 should be multiplied to get a perfect cube number?

729 is a perfect cube of 9. Hence, the smallest number which is multiplied with \[243\] to make it a perfect cube is \[3\].

What is the least number to be multiplied with 9 to make it a perfect square?

Answer: The least number to be multiplied with 9 to make it a perfect cube is 3 .

How is 9 a perfect cube?

Therefore, if we take the cube root of a perfect cube, we get a natural number and not a fraction. Hence, 3√x = y. For example, 8 is a perfect cube because 3√8 = 2….List of Perfect Cubes 1 to 50.

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Number (x) Multiplied Three times by itself Cubes (x3)
7 7× 7× 7 343
8 8× 8× 8 512
9 9× 9× 9 729
10 10× 10× 10 1000

What do you multiply to 9 yield a perfect cube?

Through order of operations, this simplifies to 9⋅3, which we know is equal to 27. So, 27 is a perfect cube!

What is the smallest number by which 107811 must be multiplied so that the product is a perfect cube?

Therefore, 107811 is a not perfect cube. However, if the number is multiplied by 3 × 3 = 9 , the factors be grouped into triples of equal factors such that no factor is left over. Thus, 107811 should be multiplied by 9 to make it a perfect cube.

What is the smallest number that should be multiplied with 54000 to make it a perfect cube?

So, 2 × 2 = 4 should be multiplied to 54000 to get a perfect cube.

What should be multiplied to 9000 to make it a perfect cube?

The prime factorization of 9000 is 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5, hence, the cube root of 9000 in its lowest radical form is expressed as 10 ∛9….Cube Root of 9000.

1. What is the Cube Root of 9000?
4. FAQs on Cube Root of 9000
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What is the smallest no by which 9000 may be multiplied so that the product is a perfect cube?

The prime factor 3 doesn’t appear in a group of three factors . So, 9000 is not a perfect cube. Hence, the smallest number which is to be divided to make it perfect cube is 3× 3= 9.

How do you find the 9 cube?

Example: ∛8 = ∛(2 × 2 × 2) = 2. Since, 8 is a perfect cube number, it is easy to find the cube root of a number….Cubes and Cube Roots List of 1 to 15.

Number Cube(a3) Cube root ∛a
6 216 1.817
7 343 1.913
8 512 2.000
9 729 2.080

What is the cube number of 9?

Cube Numbers List

Number Cube
8 512 =8 X 8 X 8
9 729 =9 X 9 X 9
10 1000 =10 X 10 X 10
11 1331 =11 X 11 X 11

What is the smallest number by which 107811?

9 should be multiplied with 107811 to get a perfect cube. that is 3×3=9. so, 9 should be multiplied with 107811 to get a perfect cube.

What is the smallest number that can be a perfect cube?

If you want to know the smallest number you can MULTIPLY by 29,478 to get a perfect cube, you would need to multiply by 2^2 * 3^2 = 36 – the result would be 2^3 * 3^3 * 17^3 = (2*3*17)^3 = 102^3 = 1,061,208. How many perfect cube are between 1 and 1000?

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What is the smallest number by which 6912 must be multiplied?

So we need to multiply another 2 to the factorization to make 6912 a perfect cube. Hence, the smallest number by which 6912 must be multiplied to obtain a perfect cube is 2. Hence, option A is correct. Was this answer helpful? Find the smallest number by which 7 2 must be multiplied, so that the product is a perfect cube.

What is the number by which 968 is a perfect cube?

Find the smallest numbers by which 968 should be multiplied to make it a perfect cube. Hence the number is 11. Was this answer helpful?

What is the smallest number that must be multiplied to get 392?

We know, a perfect cube has multiples of 3 as powers of prime factors. Here, number of 2’s is 3 and number of 7’s is 2. So we need to multiply another 7 to the factorization to make 392 a perfect cube. Hence, the smallest number by which 392 must be multiplied to obtain a perfect cube is 7.