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Question 5: How many numbers are both multiples of 66 and divisors of 72?

01/29/2022 by admin Leave a Comment

Question 5: How many numbers are both multiples of 66 and divisors of 72?





Let x be a number that is both a multiple of 66 and a divisor of 72 .

\(\left\{ \begin{array}{l}x \in B\left( 6 \right)\\x \in U\left( {72} \right)\end{array} \right. \Rightarrow \left\{ \begin{array}{l}x \in {\rm{\{ 0;}}\,6{\rm{;12;18;24;30;36;42}}… { \rm{\} }}\\x \in {\rm{\{ 1;2;3;6;9;12;18;24;36;72\} }}\end{array} \right.\ )

x ∈ {6;12;18;24;36}

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Filed Under: Junior high Math Tagged With: ddivisors and multiples

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