The smallest whole number that is to be multiplied with 59535 to make a perfect square number is x. The sum of digit of x is?
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Prime factorisation of 59535 is
59535 = 3×3×3×3×3×5×7×7 = 3⁵ × 5¹ × 7² = (3² × 3² × 7²) × (3 × 5)
So we got (3×5) remaining with power 1. So to get perfect square, we need to mlultiply it by (3×5) or 15.
Sum of digits = 1+5 = 6
59535 = 3×3×3×3×3×5×7×7 = 3⁵ × 5¹ × 7² = (3² × 3² × 7²) × (3 × 5)
So we got (3×5) remaining with power 1. So to get perfect square, we need to mlultiply it by (3×5) or 15.
Sum of digits = 1+5 = 6
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