Types of Number

Past Paper Questions:

Prime Factorization by Tree Factor

• Start with the given number.

• Divide by the smallest prime number (2, 3, 5, 7, etc.).

• Continue factorizing the quotient using the smallest prime factor at each step.

• Repeat until all the factors are prime numbers.

• Write the prime factorization by multiplying the prime numbers.

Example: Express 36 as a product of its prime factor

HCF ( Highest Common Factor)

The highest common factor of two or more numbers is the highest number that is a factor of all the given numbers

Steps to find HCF by TREE FACTOR

1. Use a factor tree or division method to find the prime factors of each number.

2. Highlight or encircle the common factors of the given numbers..

3. Multiply them to get the HCF.

The lowest common multiple of two or more numbers is the smallest number that is a multiple of all the given numbers.

Steps to find LCM

1. Use a factor tree or division method to find the prime factors of each number.

2. Underline the highest power of each prime factor.

3. Multiply them to get the LCM.

Steps to find HCF by Factorization Method

• List all factors of the given numbers.

• Look for the highest common factor.

LCM ( Lowest Common Multiplier)