Prime Factorization: Traffic-Light Method Explained

Let's explore prime numbers and learn a systematic way to work with them.Prime numbers are special numbers that have exactly two factors: one and themselves.Let's look at some examples. Two and seven are prime numbers, while four and nine are not.We can see this by looking at their factor pairs. Prime numbers only have one factor pair.To help us work with prime numbers, we'll use the traffic light method. First, we draw a vertical line to divide our work area.On the left side, we'll place our starting number. The right side is where we'll organize our work.Just like a traffic light, we'll work from top to bottom in an organized way. Green means start, yellow means continue, and red means stop.For example, if we want to work with the number twenty-four, we place it on the left side of our line.Remember to write clearly, keep your work organized, and always work from top to bottom.Now that we have our number 84, let's begin the division process.We always start with the smallest prime number, which is 2. 84 divided by 2 equals 42.Since 42 is still divisible by 2, we continue using 2 as our divisor. 42 divided by 2 equals 21.Now, 21 divided by 2 would give us 10.5, which isn't a whole number. This means we need to move to the next prime number.Moving to the next prime number, 3. 21 divided by 3 equals 7.Remember, we only use prime numbers as divisors, following the sequence: 2, 3, 5, 7, and so on.Finally, we divide 7 by 7, which gives us 1. This will complete our factorization process.Looking at our work, we can see all the prime factors we used: 2, 2, 3, and 7.We continue dividing until we reach 1 on the left side.When we reach 1, we know our factorization is complete. The prime factorization of 84 is 2 times 2 times 3 times 7.Let's verify our work by multiplying the prime factors together.First multiply 2 times 2, then multiply by 3, and finally by 7.To prevent errors, remember these important tips for organizing your work.The traffic light method helps us organize our work and verify that 84 equals 2 times 2 times 3 times 7.