Determine whether each of the following numbers is a prime number. See Example 4.
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Reference Example 4
a. Is 37 a prime number? b. Is 45 a prime number?
Strategy We will determine whether the given number has only 1 and itself as factors.
Why If that is the case, it is a prime number.
Solution
a. Since 37 is a whole number greater than 1 and its only factors are 1 and 37, it is prime. Since 37 is not divisible by 2, we say it is an odd prime number.
b. The factors of 45 are 1, 3, 5, 9, 15, and 45. Since it has factors other than 1 and 45, 45 is not prime. It is an odd composite number.
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