Prime Factorization – Methods, Factor Tree and Solved Examples

Introduction to Prime Factorization

• In mathematics, prime factorization is the decomposition of a number into a product of prime numbers. For example, the prime factorization of 60 is 2 × 2 × 3 × 5.
• The prime factorization of a number is the easiest way to find the largest prime factor of that number. The largest prime factor is the prime factorization of a number that is larger than any other prime factor in the prime factorization.

Prime Factors of a Number

The prime factors of a number are the prime numbers that divide that number without a remainder. For example, the prime factors of 15 are 3 and 5. 3 and 5 are the only prime numbers that divide 15 without a remainder, so they are the prime factors of 15.

Division Method

• The division method is a way of solving equations in which you divide each side of the equation by the same number. This method is useful for equations that are already in simplified form.
• To use the division method, divide each side of the equation by the number that is on the left side of the equation.
• For example, if you are solving for x and the equation is x = 2, you would divide each side of the equation by 2. This would give you x = 1.
• If you are solving for y and the equation is y = 3, you would divide each side of the equation by 3. This would give you y = 1.

Factor Tree Method

• The decision tree method is a step-by-step approach for making a decision. It starts with the decision at the top of the tree and works its way down, making a decision at each branching point.
• The decision tree method can be used to solve problems with more than one decision point. In each branching point, the options are listed and the consequences of each option are considered. The best option is then chosen.
• The decision tree method can also be used to identify possible risks and rewards associated with each decision. This information can be helpful in making a decision.

Facts about Prime Factorisation

• Prime factorisation is the process of finding the prime factors of a given number.
• Prime factors are the prime numbers that can be multiplied together to produce the given number.
• The prime factors of a number can be found by dividing the number by its prime factors.
• The prime factorisation of a number is unique.

For more visit Factors of 30 – Definition and Prime Factorization