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Prime number test: To determine if any number is prime, one method is to check if it can be divided by any of the prime numbers less than its square root. Because the square root of 1000 is approximately 31.6, any 3 digit number (100 to 999) needs to be tested for divisibility only with the prime numbers 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, and 31.

The highest prime number that is the square root of a number less than 743 is 23. Since no prime number from 2 to 23 (2, 3, 5, 7, 11, 13, 17, 19, and 23) divides evenly into 743, then 743 is a prime number.

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12y ago
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Q: How can you figure out that 743 is a prime number?
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