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Prime Factorization of Monomials - Grade 11 Math 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.

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Updated: 20 January 2017 (A Dendane)

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