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Multiple (mathematics)





EXAMPLES


  • 14, 49, and -21 are multiples of 7 whereas -3, 15, and 20 are not multiples of 7.



PROPERTIES


  • Every number is a multiple of itself (b=1\cdot b ).

  • 0 is a multiple of every number (0=0\cdot b).

  • If a and b are multiples of x, then a+b, a-b and ab are multiples of x.

  • For any integer p > 1, (p-1)!+1 is a multiple of p if and only if p is a Prime Number ( Wilson's Theorem ).

  • 72 is a mutliple of 36!



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