By which smallest number must the following number be divided so that the quotient is a perfect cube? 8788 On factorising 8788 into prime factors, we get: \[8788 = 2 \times 2 \times 13 \times 13 \times 13\] On grouping the factors in triples of equal factors, we get: \[8788 = 2 \times 2 \times \left\{ 13 \times 13 \times 13 \right\}\] It is evident that the prime factors of 8788 cannot be grouped into triples of equal factors such that no factor is left over. Therefore, 8788 is a not perfect cube. However, if the number is divided by (\[2 \times 2 = 4\]), the factors can be grouped into triples of equal factors such that no factor is left over. Thus, 8788 should be divided by 4 to make it a perfect cube. Concept: Concept of Cube Root Is there an error in this question or solution? Uh-Oh! That’s all you get for now. We would love to personalise your learning journey. Sign Up to explore more. Sign Up or Login Skip for now Uh-Oh! That’s all you get for now. We would love to personalise your learning journey. Sign Up to explore more. Sign Up or Login Skip for now |