potwe-15-np-03-p

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WWW.CEMC.UWATERLOO.CA | The CENTRE for EDUCATION in MATHEMATICS and COMPUTING Problem of the Week Problem E Minimum Multiplier The number 1867 is multiplied by a positive integer k. The last four digits of the product are 1992. Determine the minimum value of k. 1867 × ?????? . . . 1992

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Page 1: POTWE-15-NP-03-P

WWW.CEMC.UWATERLOO.CA | The CENTRE for EDUCATION in MATHEMATICS and COMPUTING

Problem of the WeekProblem E

Minimum Multiplier

The number 1867 is multiplied by a positive integer k. The last four digits of theproduct are 1992.

Determine the minimum value of k.

1 8 6 7× ? ? ? ? ? ?

. . . 1 9 9 2

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