MP Board · Class 8 · Mathematics · Square and Square RootsBy what smallest natural number should 250 be divided to make it a perfect square?
Step-by-Step Solution
Prime factorisation of 250: $$250 = 2 \times 5 \times 5 \times 5 = 2 \times 5 \times (5 \times 5)$$ \nUnpaired factors are $2$ and $5$, whose product is $2 \times 5 = 10$.\nDividing 250 by 10 gives $25$, which is $5^2$.\nThus, the smallest number is 10.
Detailed Options Breakdown
Option : 2
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Square and Square Roots.
Option 1: 5
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Square and Square Roots.
Option 2: 10 (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 3: 25
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Square and Square Roots.
💡 Study Guide: This question tests core syllabus concepts from Square and Square Roots. For formulas, key summaries, and mock exam reference guides, read the full Square and Square Roots Revision Notes.