 # 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. 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 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 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.