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What is the smallest whole number by which 300 must be multiplied to give a cube number?
Wiki User
∙ 6y ago
For a number to be a perfect cube all powers of the primes in its prime factorisation must be a multiple of 3.
Thus the smallest number to multiply a number by to get a perfect cube is the extra prime powers needed.
300 = 2² × 3¹ × 5²
→ need an extra
- 2 to the power of 3 - 2 = 1, ie 2¹
- 3 to the power of 3 - 1 = 2, ie 3²
- 5 to the power of 3 - 2 = 1, ie 5¹
Wiki User
∙ 6y ago
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