Find the number of positive divisors of the year 2025.

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{"content":[{"content":[{"marks":[{"type":"bold"}],"text":"Step 1:","type":"text"},{"type":"text","text":" Write the prime factorization of "},{"type":"math_inline","attrs":{"latex":"2025"}},{"type":"text","text":":"}],"type":"paragraph"},{"attrs":{"latex":"2025 = 5 \times 405 = 5^2 \times 81 = 5^2 \times 3^4 = 3^4 \times 5^2"},"type":"math_block"},{"content":[{"text":"Step 2:","type":"text","marks":[{"type":"bold"}]},{"text":" The number of positive divisors is calculated by adding ","type":"text"},{"attrs":{"latex":"1"},"type":"math_inline"},{"text":" to each exponent and multiplying the results:","type":"text"}],"type":"paragraph"},{"attrs":{"latex":"d(2025) = (4 + 1)(2 + 1) = 5 \times 3 = 15"},"type":"math_block"},{"content":[{"text":"So ","type":"text"},{"attrs":{"latex":"2025"},"type":"math_inline"},{"text":" has exactly ","type":"text"},{"attrs":{"latex":"15"},"type":"math_inline"},{"text":" positive divisors.","type":"text"}],"type":"paragraph"}],"type":"doc"}

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