Question

Q3 What is the smallest number by which 4 should be multiplied to make it a perfect cube
27
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Answer 1

Answer:

Step-by-step explanation:

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→ Any number can be represented (uniquely) by the product of primes, each raised to a power. (That’s called “the fundamental theorem of arithmetic”.) Therefore, a perfect cube can be represented by the product of primes each raised to a power that is a multiple of three.

→ 4 = 2²

→ The exponent of first prime (2) must be raised by one: change 2^2 to 2^3

→ 2³ = 2

→ Therefore, you must multiply it by two, to get a perfect cube.