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240 is the smallest number with at least 19 factors. 240 has twenty factors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240 262144 is the smallest number with EXACTLY 19 factors
To find the smallest number that has 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10 as factors, you need to find the least common multiple (LCM) of these numbers. The LCM is the smallest number that is divisible by all the given numbers. The LCM of 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10 is 2520. Therefore, 2520 is the smallest number that has 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10 as factors.