1. Lowest Common Factor
1.1. 24 and 48 are the common multiples of 6 and 8. The smallest common multiple of 6 and 8 is 24. We say that 24 is the lowest common multiple (LCM) of 6 and 8.
2. Prime Factorisation
2.1. Ways of finding Prime Factors of a number
2.1.1. Repeated Division
2.1.2. Factor Tree
3. Highest Common Factor
3.1. The HCF of two or more positive whole numbers is the largest positive integers that divides the numbers without a remainder.
3.2. Numbers
3.2.1. Prime Number
3.2.1.1. A prime number is a whole number greater than 1 that has only two factors, 1 and itself.
3.2.2. Composite Number
3.2.2.1. A composite number is a whole number greater than 1 that has more than 2 factors
4. Square Root & Cube Root
4.1. Square Root
4.1.1. Numbers like 1,4,9,16,25 whose square roots are whole numbers are called perfect squares. We can find the square root of a perfect square by using prime factorisation
4.2. Cube Root
4.2.1. We say that 8 is the cube of 2 and 2 is the cube root of 8 which is denoted by (cube root) 8=2.
4.2.2. We can express 8 as a product of three identical numbers as follows: 2x2x2=8.
4.2.3. The numbers 1,8,27,64 ... whose cube roots are whole numbers are called perfect cubes. We can find the cube root of a perfect cube by using prime factorisation