Prime Factorization with Exponents - Examples, Exercises and Solutions

What does it mean?

Any natural number that is not prime can be factorized as a product of prime numbers. This process is known as breaking down numbers into prime factors.

From time to time, to solve a certain exercise in a simpler way, we will have to dfactorize the numbers we are given, and rewrite them as products of prime numbers. This factorization gives the possibility to use the numbers in a more comfortable way, for example, by taking advantage of the properties of powers or exponent laws.

For example:
The number $8$ can be written as $2^3$
The number $1176$ can be also written as $2^2\times3\times7^2$

Detailed explanation

Practice Prime Factorization with Exponents

Question 1

Write all the factors of the following number: $$ 9 $$

Question 2

Write all the factors of the following number: $$ 5 $$

Question 3

Write all the factors of the following number: $$ 4 $$

Question 4

Write all the factors of the following number: $$ 7 $$

Question 5

Write all the factors of the following number: $$ 8 $$

examples with solutions for prime factorization with exponents

Exercise #1

Write all the factors of the following number: $9$

Video Solution

Answer

$3,3$

Exercise #2

Write all the factors of the following number: $5$

Video Solution

Answer

No prime factors

Exercise #3

Write all the factors of the following number: $4$

Video Solution

Answer

$2,2$

Exercise #4

Write all the factors of the following number: $7$

Video Solution

Answer

No prime factors

Exercise #5

Write all the factors of the following number: $8$

Video Solution

Answer

$2,2,2$

Question 1

Write all the factors of the following number: $$ 6 $$

Question 2

Write all the factors of the following number: $$ 26 $$

Question 3

Write all the factors of the following number: $$ 18 $$

Question 4

Write all the factors of the following number: $$ 16 $$

Question 5

Write all the factors of the following number: $$ 13 $$