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The factors of 240 are = 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120 & 240. So total number of factors are 20. Alternate Method: After prime factorization just add 1 in all powers & then multiply them. 240 = 24 `xx` 3 `xx` 5 So the number of factors of 240 are = (4+1) `xx` (1+1) `xx` (1+1) = 5 `xx` 2 `xx` 2 = 20
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