Is 392 a Perfect Cube? The number 392 on prime factorization gives 2 × 2 × 2 × 7 × 7. Here, the prime factor 7 is not in the power of 3. Therefore the cube root of 392 is irrational, hence 392 is not a perfect cube.

IS 329 a perfect cube?

If we look at the number 329, we know that the cube root is 6.9034359418996, and since this is not a whole number, we also know that 329 is not a perfect cube.

IS 392 a perfect cube if not find the smallest natural number that has to be multiplied to it to make it a perfect cube?

Answer. Answer: No, 392 is not a perfect cube. The number 7 should be multiplied by 392 so that the product is a perfect cube, because 392×7= 2744 which is a cube root of 14.

IS 392 a perfect cube if not find the smallest natural number by which 392 must be Multipliedso that the product is a perfect cube?

Hence, the smallest number by which 392 must be multiplied to obtain a perfect cube is 7.

IS 392 a perfect square if not then find the smallest multiple of 392 which is a perfect square also find the square root of the new number?

Answer: 2 is the smallest number by which 392 should be multiplied. The number obtained is 784 which is the square of 28. By prime factorization we come to know that 2 should be multiplied to make 392 a perfect square.

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IS 392 a perfect square?

Is the number 392 a Perfect Square? The prime factorization of 392 = 2^{3} × 7^{2}. Here, the prime factor 2 is not in the pair. Therefore, 392 is not a perfect square.

IS 392 a perfect cube give the reason in support of your answer?

Therefore, 392 is not a perfect cube. To make its a cube, we need one more 7. In that case 392 × 7 = 2 × 2 × 2 × 7 × 7 × 7 = 2744 which is a perfect cube. Hence the smallest natural number by which 392 should be multiplied to make a perfect cube is 7.

What is the LCM of 392?

The LCM of 392 and 616 is 4312.

What is the prime factorization of 392?

Factors of 392 are integers that can be divided evenly into 392. There are overall 12 factors of 392 among which 392 is the biggest factor and its prime factors are 2, 7. The Prime Factorization of 392 is 2^{3} × 7^{2}.

Which of the following is not a perfect cube?

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.

What is the smallest number by which 392?

Hence, 7 is the smallest number by which 392 must be multiplied so that the product is a perfect cube.

IS 292 a perfect cube if not find the smallest natural number by which it must be multiplied so that the product is a perfect cube?

292 = 2 x 2 x 73 , which doesn't have triplet of any prime factors, Hence, to make it perfect cube, we must make the the prime factors to form triplets,. => Hence, it should be multiplied by 2 x 73 x 73 = 5329 x 2 = 10658.

IS 128 a perfect cube?

Doing Prime factorization of 128 We see that 128 = 2 × 2 × 2 × 2 × 2 × 2 × 2 Since 2 does not occur in triplets, ∴ 128 is not a perfect cube.

IS 393 is a perfect cube?

Cube root of 393 can be represented as 3√393. The value of cube root of one is 393. The nearest previous perfect cube is 343 and the nearest next perfect cube is 512 .

Is 329 a rational?

Answer. 329 is a rational number because it can be expressed as the quotient of two integers: 329 ÷ 1.

Which smallest number 392 must be multiplied so as to make the product a perfect cube?

So, 7 is the number that must be multiplied to 392 to make it a perfect cube.

What is the highest common factor of 392 and 126?

As you can see when you list out the factors of each number, 14 is the greatest number that 392 and 126 divides into.

Is 2744 a perfect cube?

Ans=Yes. 2744 is a perfect cube. It is the cube of 14.

What is the prime factorization of 396?

So, the prime factorization of 396 can be written as 2^{2} × 3^{2} × 11^{1} where 2, 3, 11 are prime.

Which of the following is hardy Ramanujan number?

1729, the Hardy-Ramanujan Number, is the smallest number which can be expressed as the sum of two different cubes in two different ways. 1729 is the sum of the cubes of 10 and 9 - cube of 10 is 1000 and cube of 9 is 729; adding the two numbers results in 1729.

IS 729 a perfect cube?

Since 729 is a perfect cube, we will use the prime factorisation method, to get the cube root easily.

IS 243 a perfect cube?

Doing Prime factorization of 243 3 | 243 3 | 81 3 | 27 3 | 9 3 | 3 | 1 We see that 243 = 3 × 3 × 3 × 3 × 3 Since 3 does not occur in triplets, ∴ 243 is not a perfect cube.

What is the cube of 392?

FAQs on Cube Root of 392

We can express 392 as 2 × 2 × 2 × 7 × 7 i.e. ∛392 = ∛(2 × 2 × 2 × 7 × 7) = 7.31861. Therefore, the value of the cube root of 392 is 7.31861.

Is 392 an irrational number?

Answer. 392 is a rational number because it can be expressed as the quotient of two integers: 392 ÷ 1.

Is this a square number?

Informally: When you multiply an integer (a “whole” number, positive, negative or zero) times itself, the resulting product is called a square number, or a perfect square or simply “a square.” So, 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on, are all square numbers.