Divisibility

Number Theory Level 3

4 divides 100 in base 10.
Does 4 divide 100 in base 11?

Yes No

Christopher Boo by Christopher Boo , 24, Singapore

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1 solution

Chew-Seong Cheong
Jun 25, 2017

10 0 11 ÷ 4 11 = 1 1 10 2 ÷ 4 10 = 12 1 10 ÷ 4 10 100_{11} \div 4_{11} = 11_{10}^2 \div 4_{10} = 121_{10} \div 4_{10} . No , it is indivisible.

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