Prime Factorization of Monomials - Questions With Detailed Solutions

What is prime factorization of monomials? Grade 11 examples and questions are presented along with Solutions and explanations included.

A monomial is the product of a real number and variables raised to non negative integer powers.
Example of monomials: 2 x , -5 x 2y , 30 x 2y 4
What is prime factorization of monomials?
The prime factorization of a monomials is obtained by writing the whole number in the monomial in prime factorization followed by the product of the variables.
Examples of monomials in prime factorization form
1) 10 x = 2 5 x
2) 20 x 2 = 2 2 5 x x
3) - 30 x 2y 3 = - 2 3 5 x x y y y


Answer the following questions on prime factorization.
Detailed Solutions and explanations.

  1. Which of the following is not a prime factorization?
    a)2 10 x
    b) 2 7 x x
    c) 4 4 4 x x y y y
    d) 2 2 2 3 x x y y
  2. What is the prime factorization of the following monomials?
    a) 28 x y 2
    b) 32 x 3y
    c) 70 x 3y 3
    d) 120 x 2y 2
  3. Find the prime factorizations of 5 x y 2 and 20 x 3y and then the prime factorization of 100 x 4y 3 knowing that 100 x 4y 3 = (5 x y 2) (20 x 3y)
Detailed Solutions and explanations.

More Middle School Math (Grades 6, 7, 8, 9) - Free Questions and Problems With Answers
More High School Math (Grades 10, 11 and 12) - Free Questions and Problems With Answers
More Primary Math (Grades 4 and 5) with Free Questions and Problems With Answers
Home Page