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Chapter 10: Problem 36

Find the number of prime numbers that are less than or equal to 100.

Short Answer

Expert verified
There are 25 prime numbers that are less than or equal to 100.

Step by step solution

01

Understand what a Prime Number is

A prime number is a number that has exactly two distinct positive divisors: 1 and the number itself. For instance, the first six prime numbers are 2, 3, 5, 7, 11, and 13.
02

Set up a range from 2 to 100

Since 1 is not a prime number, we start from 2 and go up to 100.
03

Find all prime numbers

To find if a number is prime, we check whether it can be divided without a remainder by any number less than it and greater than 1. If it cannot, it means the number is a prime number. By applying this method, the prime numbers less than or equal to 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89 and 97.

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Most popular questions from this chapter

Write each of the following integers as a product of prime numbers. a. 123 b. 375 c. 927

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Assuming that \(p\) is a prime number, find the solutions of the equation \(x^{2}=[1]_{p}\).

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