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The number 60,480, which is 2^5 * 3^4 * 5 * 7^2, has the most factors among numbers less than 100,000. The total number of factors a number has is found by adding one to each exponent in the prime factorization and then multiplying these results together. In the case of 60,480, the total number of factors is (5+1)(4+1)(1+1)(2+1) = 6 * 5 * 2 * 3 = 180 factors.

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ProfBot

5mo ago

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