Author note — to cover

Finding the smallest multiplier, or divisor, that turns a number into a perfect square or cube by making every index even or a multiple of three. Assumes index-form factorisation; counting factors lives on counting-factors; recognising squares and cubes lives on recognising-powers. Both tiers. (N4, N6)

Introduction

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Practice and continue

Practice

Squares and cubes from prime factors

The smallest multiplier that turns a number into a perfect square or cube.

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Counting a number’s factors

Counting a number’s factors from the indices in its prime factorisation.