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Chapter 1: Problem 24

Identify each natural number as prime or composite. If the number is composite, find its prime factorization. $$83$$

Short Answer

Expert verified
The number 83 is a prime number.

Step by step solution

01

Identify the number

We are given a single number 83. We need to determine whether it is a prime number or a composite number.
02

Establish a prime number check

An established way to check if a number is prime or not is to run a loop and try dividing the number from 2 to the square root of that number. If the number is divisible, then it will not be a prime number otherwise if the loop has finished and the number was not divisible by any other number apart from 1 and the number itself, then it's a prime number.
03

Implementation of prime number check

Implementing the prime number check for 83, there is no number between 2 and the square root of 83 that can divide 83 evenly. Thus, 83 is a prime number.

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Most popular questions from this chapter

Simplify each algebraic expression. $$3 a+7-11 a$$

The list shows a pattern for various products. $$\begin{aligned}2(-3) &=-6 \\\1(-3) &=-3 \\\0(-3) &=0 \\\\-1(-3) &=3 \\\\-2(-3) &=6 \\\\-3(-3) &=9 \\\\-4(-3) &=? \end{aligned}$$ Use this pattern to find \(-4(-3)\)

Perform the indicated subtraction. $$-\frac{4}{5}-\left(-\frac{1}{5}\right)$$

Perform the indicated subtraction. $$9.8-2.2$$

Perform the indicated subtraction. $$23-23$$
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