Find the smallest number by which 16384 be divided so that the quotient may be a perfect square

Answer:

Nội dung chính

  • Tag: A espada, a cruz e a fome iam dizimando a família selvagem analise a frase e marque o item correto
  • What smallest number should 10584 be multiplied so that the product may be a perfect square?
  • What is the smallest number by which 3087 be multiplied so that product is a perfect square?
  • Is 10584 a perfect cube?
  • What is the smallest number by which 1372 may be multiplied so that the product is a perfect cube?
  • What is the smallest number by which 8640 is to be divided so that the quotient is a perfect cube?
  • What is the smallest number by which 7803 should be divided so that the quotient is a perfect cube?
  • What is the smallest number by which 6912 must be divided so that the quotient obtained will have a perfect cube root?
  • What is the smallest number by which 16384 must be divided so that the quotient is a perfect cube?
  • Is 6912 a perfect cube?
  • What should be multiplied to 6912 to make it a perfect cube?
  • What is the smallest number by which 6912 may be multiplied so that the product is a perfect cube?
  • Is 68600 a perfect cube if not find the smallest?

Nội dung chính

  • Tag: A espada, a cruz e a fome iam dizimando a família selvagem analise a frase e marque o item correto
  • What smallest number should 10584 be multiplied so that the product may be a perfect square?
  • What is the smallest number by which 3087 be multiplied so that product is a perfect square?
  • Is 10584 a perfect cube?
  • What is the smallest number by which 1372 may be multiplied so that the product is a perfect cube?
  • What is the smallest number by which 8640 is to be divided so that the quotient is a perfect cube?
  • What is the smallest number by which 7803 should be divided so that the quotient is a perfect cube?
  • What is the smallest number by which 6912 must be divided so that the quotient obtained will have a perfect cube root?
  • What is the smallest number by which 16384 must be divided so that the quotient is a perfect cube?

Índice

  • Tag: A espada, a cruz e a fome iam dizimando a família selvagem analise a frase e marque o item correto
  • What smallest number should 10584 be multiplied so that the product may be a perfect square?
  • What is the smallest number by which 3087 be multiplied so that product is a perfect square?
  • Is 10584 a perfect cube?
  • What is the smallest number by which 1372 may be multiplied so that the product is a perfect cube?

192

Step-by-step explanation:

Prime factorisation of 10584 is 

10584=23×32×72

Now for the above to be a perfect square we can see that we need to multiply 2×3=6

∴ the least number to be multiplied to 10584 to make it a perfect square is 6

∴10584×6=23×33×72×2×3=24×34×72

The square root of this new number is

24×34×72=22×32×7=4×9×7=63×4=192

Tag: A espada, a cruz e a fome iam dizimando a família selvagem analise a frase e marque o item correto

Find the smallest number by which 16384 be divided so that the quotient may be a perfect square

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What smallest number should 10584 be multiplied so that the product may be a perfect square?

Answer: the number 10584 must be multiplied with 2×3=6.....

What is the smallest number by which 3087 be multiplied so that product is a perfect square?

Hence, the smallest number by which 3087 must be multiplied to obtain a perfect cube is 3.

Is 10584 a perfect cube?

Step-by-step explanation: When you extract factor of 10584= 2×2×2×3×3×3×7×7. So, in manner to make any number a perfect cube you will need a triplet of prime factors and here 7 is only two times. So, when we divide 10584 by 49. you will get a perfect cube.

What is the smallest number by which 1372 may be multiplied so that the product is a perfect cube?

To find the smallest number by which 1372 must be multiplied so that the product is a perfect cube, you need to find the prime factors of the given number. From above, by multiplying 2 the number 1372 becomes the perfect cube. Therefore, the smallest number is 2.

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

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

What is the smallest number by which 7803 should be divided so that the quotient is a perfect cube?


Hence, `17` is the smallest number by which `7803` should be multiplied to make it a perfect cube.

What is the smallest number by which 6912 must be divided so that the quotient obtained will have a perfect cube root?

Given: A number 6912 . To do: To find the smallest number by which 6912 must be divided so that the number formed is a perfect cube. Therefore, we should divide 6912 by 22=4 2 2 = 4 , the smallest number to get 1728 which is a cube of 12 .

What is the smallest number by which 16384 must be divided so that the quotient is a perfect cube?

So, 16384 is not a perfect cube. Hence , the smallest number which is to be divided to make it a perfect cube is 2×2 = 4.

Is 6912 a perfect cube?

If we look at the number 6912, we know that the cube root is 19.048812623618, and since this is not a whole number, we also know that 6912 is not a perfect cube.

What should be multiplied to 6912 to make it a perfect cube?

Prime factorising 6912, we get,.

We know, a perfect cube has multiples of 3 as powers of prime factors..

Here, number of 2's is 8 and number of 3's is 3..

So we need to multiply another 2 to the factorization to make 6912 a perfect cube..

What is the smallest number by which 6912 may be multiplied so that the product is a perfect cube?

Given: A number 6912 . To do: To find the smallest number by which 6912 must be divided so that the number formed is a perfect cube. Therefore, we should divide 6912 by 22=4 2 2 = 4 , the smallest number to get 1728 which is a cube of 12 .

Is 68600 a perfect cube if not find the smallest?

Hence, the smallest number by which 68600 must be multiplied to obtain a perfect cube is 5.

What is the smallest number by which 16384 must be divided so that the quotient is a perfect cube?

So, 16384 is not a perfect cube. Hence , the smallest number which is to be divided to make it a perfect cube is 2×2 = 4.

What should be divided from 16384 to make it a perfect square?

Therefore, the smallest number that can be divided to 16384 to give the quotient a perfect cube is 4.

What is the smallest number by which 6912 must be divided to make it a perfect cube?

To do: To find the smallest number by which 6912 must be divided so that the number formed is a perfect cube. Therefore, we should divide 6912 by 22=4 2 2 = 4 , the smallest number to get 1728 which is a cube of 12 .

What is the smallest number by which 2304 may be divided so that the quotient is a perfect cube?

So 6 should be multiplies to 2304 to make a perfect cube root.