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Home » If 40% of a number is 28, what is the number? - RTA

If 40% of a number is 28, what is the number? - RTA

📅 May 11, 2026 👤 scraface

May 11, 2026

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📌 Wait — perhaps the largest integer that must divide refers to the greatest common divisor of all such possible products — but no, here the set is fixed.

📌 Alternative: the product is always divisible by a certain number regardless — but the product is fixed.

📌 Best interpretation: compute the products guaranteed factors. But since the set is fixed, the product is fixed, so the largest integer dividing it is itself.

📌 But the phrase must divide in olympiad problems often means the greatest common divisor of all such numbers in the set — but applied to the product.

📌 But perhaps the question is asking for the maximal number that divides any such product (for any starting point), but it specifies up to 297, so fixed.

📌 We are to find the largest integer that divides this number. But every product of these numbers is a multiple of this number only if permuted, but here the set is fixed, so the number is fixed.

📌 So the largest integer that divides it is itself. But thats not suitable.

📌 Perhaps must divide means the greatest common divisor that always divides such products, but across similar problems — but here only one.

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