Online Pre-Algebra Tutoring: Factoring the Prime
Learn about Factoring the Prime from Certified Online Pre-Algebra Tutor
Prime factorization of a whole number means to write it as the product of only prime numbers. A composite number can be written as a product of all of its prime factors.
To find the prime factorization of a number:
Divide the number by prime factors until the quotient is 1.
Let’s understand with an example
What is the prime factorization of 45?
45 ÷ 3 = 15
15 ÷ 3 = 5
5 ÷ 5 = 1
The prime factorization of 45 is:
45 = 3 × 3× 5
This can also be written using exponents as:
45 = 32 × 5
Another method for producing the prime factorization of a natural number is to use what is called a factor tree.
A factor tree is a tool that breaks down any number into its prime factors
The first step in making a factor tree is to find a pair of factors whose product is the number that we are factoring. These two factors are the first branching in the factor tree. There are often several different pairs of factors that we could choose to begin the process. The choice does not matter; we may begin with any two factors. We repeat the process with each factor until each branch of the tree ends in a prime. Then the prime factorization is complete.
Example: Prime factorization of 24
The prime factorization is the product of the circled primes
So the prime factorization of 24 is 24 = 2 ×2 ×2 × 3 = 23 × 3.
- What is the prime factorization of 86?
- What is the prime factorization of 592?
- What is the prime factorization of 225?
- What is the prime factorization of 1050?
- What is the prime factorization of 42 use the factor tree method
Personalized Online Tutoring
eTutorWorld offers affordable one-on-one live tutoring over the web for Grades 2-12, Test Prep help for Standardized tests like SCAT, CogAT, SSAT, SAT, ACT, ISEE and AP. You may schedule online tutoring lessons at your personal scheduled times, all with a Money-Back Guarantee. The first one-on-one online tutoring lesson is always FREE, no purchase obligation, no credit card required.
For answers/solutions to any question or to learn concepts, take a FREE Demo Session.
No credit card required, no obligation to purchase.
Just schedule a FREE Sessions to meet a tutor and get help on any topic you want!
Pricing for Online Tutoring
|Tutoring Package||Validity||Grade (1-12), College|
|5 sessions||1 Month||$139|
|1 session||1 Month||$28|
|10 sessions||3 months||$269|
|15 sessions||3 months||$399|
|20 sessions||4 months||$499|
|50 sessions||6 months||$1189|
|100 sessions||12 months||$2249|