A monomial is the product of a real number and variables raised to non negative integer powers.
Example of monomials: 2 x , 5 x^{ 2}y , 30 x^{ 2}y^{ 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^{ 2}y^{ 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 ^{ 3}y
c) 70 x ^{ 3}y ^{ 3}
d) 120 x ^{ 2}y ^{ 2}

Find the prime factorizations of 5 x y^{ 2} and 20 x^{ 3}y and then the prime factorization of 100 x^{ 4}y^{ 3} knowing that 100 x^{ 4}y^{ 3} = (5 x y^{ 2}) × (20 x^{ 3}y)
Detailed Solutions and explanations.