Yes, using this insight, we can find all numbers that are perfect squares because they alone have an odd number of factors. Examples include 1, 4, 9, 16, 25 and so on, where one factor repeats in the pair. Class 8 ...
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Yes, 3375 is a perfect cube. Its prime factorisation is 3 × 3 × 3 × 5 × 5 × 5. These group as (3 × 5)³ = 15³. So, 3375 is a cube and its cube root is 15. Class ...
No, 156 is not a perfect square. Its prime factorisation is 2 × 2 × 3 × 13. The factors cannot be paired equally. Since 13 is unpaired, 156 cannot be written as a product of equal numbers. So, not ...
1156 is a perfect square. Its prime factorisation is 2² × 17². All factors are in pairs. But 2800 = 2⁵ × 5² × 7, which has unpaired 2s and a 7, so 2800 is not a perfect square. Class 8 ...