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Divisor
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== Examples == [[File:Highly composite numbers.svg|thumb|250px|Plot of the number of divisors of integers from 1 to 1000. [[Prime number]]s have exactly 2 divisors, and [[highly composite number]]s are in bold.]] * 7 is a divisor of 42 because <math>7\times 6=42,</math> so we can say <math>7\mid 42.</math> It can also be said that 42 is divisible by 7, 42 is a [[multiple (mathematics)|multiple]] of 7, 7 divides 42, or 7 is a factor of 42. * The non-trivial divisors of 6 are 2, −2, 3, −3. * The positive divisors of 42 are 1, 2, 3, 6, 7, 14, 21, 42. * The [[Set (mathematics)|set]] of all positive divisors of 60, <math>A=\{1,2,3,4,5,6,10,12,15,20,30,60\},</math> [[Partially ordered set|partially ordered]] by divisibility, has the [[Hasse diagram]]: [[File:Lattice of the divisibility of 60; factors.svg|center|350px]]
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