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By which smallest number must 5400 be multiplied to make it a perfect cube |
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Answer» hope it helps youStep-by-step EXPLANATION:GIVEN: Number = 5400 To Find: Smallest number to be multiplied to MAKE it a cube. Solution: Finding the PRIME factors of 5400 5400 = 2×3×3×3×2×2×5×5 Grouping them in the group of 3 5400 = (2×2×2) × (3×3×3) × 5 × 5 In the factors 2 is in pair, 3 is in pair, and 5 can be in a pair if it is multiplied by one more 5 Thus, to make a group of 3 for 5, we need to multiply 5400 by 5. Answer: The smallest number which is to be multiplied is 5. |
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