Prime Factorization of 600 and 400

This video tutorial explains the prime factorization of the numbers 600 and 400 using a factor tree method. It begins with an introduction to the concept of prime factorization, followed by a detailed breakdown of the factorization process for each number. The tutorial concludes with a summary of the results and a prompt to subscribe for more math and science videos.

What is the first step in finding the prime factorization of a number using a factor tree?

• Start with the smallest prime number

• Divide the number by 3

• Multiply the number by 2

• Circle all even numbers

Which of the following is a prime factor of 600?

• 10

• 5

• 6

• 4

How can the prime factorization of 600 be expressed using exponents?

• 2^2 * 3^2 * 5^1

• 2^3 * 3^2 * 5^1

• 2^3 * 3^1 * 5^2

• 2^1 * 3^3 * 5^2

What is the first step in the prime factorization of 400?

• Divide by 3

• Divide by 5

• Divide by 2

• Divide by 10

Which of the following is a prime factor of 400?

• 8

• 10

• 5

• 20

How can the prime factorization of 400 be expressed using exponents?

• 2^3 * 5^3

• 2^2 * 5^4

• 2^4 * 5^2

• 2^5 * 5^1

What is the final step in confirming the prime factorization of a number?

• Divide the prime factors

• Subtract the prime factors

• Multiply all the prime factors

• Add all the prime factors

What is the purpose of circling numbers in a factor tree?

• To indicate the end of the process

• To identify prime numbers

• To mark numbers that need further division

• To highlight composite numbers