Question

smallest number should 55125 be multiplied so that the product becomes a perfect cube ?

Answer 1

26

Hope this helps.

Step-by-step explanation:

The prime factorization of 18252 is

• 18252 = 2² × 3³ × 13²

For a number to be a perfect cube, each of its prime factors has to have a power that is a multiple of 3. The prime factors that we need to "fix" then are 2 and 13, whose powers are 2.

• So we need to multiply by 2 × 13 = 26.

• The resulting perfect cube is 18252 × 26 = 2³ × 3³ × 13³ = 78³.

Answer 2

Answer:

Step-by-step explanation:

Prime factorisation of

18252 = 2*2*3*3*3*13*13

Therefore least no. To be multiplied is 2*13 ,i.e.,26.

Therefore Answer for least no. to be multiplied is 26 .

Cube root of this product ( 18252 * 26 = 474552) is 2*3*13 = 78 .