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Prime and Composite Numbers Practice

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A two-digit number less than 80 and greater than 65 is divisible by 2 and 9. Name the number. (1 point

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Final answer:

To find a two-digit number divisible by 2 and 9, look for a number with an even last digit and a sum of digits divisible by 9. The number is 72.


Step-by-step explanation:

To find a two-digit number that is divisible by 2 and 9, we need to look for a number that meets both criteria. For a number to be divisible by 2, it must end in an even digit (0, 2, 4, 6, or 8). For a number to be divisible by 9, the sum of its digits must be divisible by 9.

The only two-digit number that fits these criteria is 72. Its last digit is even (2) and the sum of its digits (7 + 2) is 9, which is divisible by 9. Therefore, the number is 72.


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