Prime Factorisation of Squares and Cubes | GMAT Number Properties Lesson Video #8 | GMAT Online Coaching

What are the properties relating to prime factorisation of perfect squares and perfect cubes?

When perfect squares are prime factorised, the powers of all the prime factors will be even. When perfect cubes are prime factorised, the powers powers of all the prime factors of the number will be multiples of 3.

We solve a question to understand and consolidate the theory discussed in this video

Question:
What should be the smallest positive integer that has to be multiplied with 856 to make it into a perfect square?

Approach
Prime factorize 856. Multiply 856 with the smallest number required to make the powers of prime factors of 856 even.

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