Watch a math tutorial video for how to write the prime factorization of term, 54x^4 y^2

The video tutorial explains the process of writing numbers and variables as a product of prime numbers. It begins by emphasizing the importance of prime factorization and then demonstrates breaking down numbers using a tree method. The tutorial further explains the factorization of variables such as X^4 and Y^2. Finally, it concludes with the linear factorization of the given number and variables, illustrating the complete process of expressing them as a product of primes.

What is the primary goal when writing a number as a product of prime numbers?

• To simplify the number

• To convert the number into a decimal

• To express the number in terms of its prime factors

• To find the largest factor

Which of the following is a correct breakdown of the number 54 using a factor tree?

• 54 = 2 * 27

• 54 = 3 * 18

• 54 = 9 * 6

• 54 = 4 * 13.5

What is the prime factorization of the number 9?

• 9 = 1 * 9

• 9 = 2 * 2 * 2

• 9 = 2 * 4.5

• 9 = 3 * 3

How can X^4 be broken down into simpler factors?

• X^4 = X^3 * X

• X^4 = X^2 * X^2

• X^4 = X^5 / X

• X^4 = X * X * X

What is the linear factorization of the expression 3 * 3 * 3 * 2 * X * X * X * X * Y * Y?

• 3^3 * 2 * X^4 * Y^2

• 3^3 * 2 * X^2 * Y^2

• 3 * 3 * 2 * X^4 * Y

• 3 * 2 * X^4 * Y^2