Divisibility rules A number is completely divisible by another number if remainder is 0. A whole number Is divisible by 2: if the last digit is 0 or divisible by 2 (even). For example, 54, 98
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Prime and composite numbers Prime number is a number that can only be divided exactly by 1 and itself. Think about number 3. It can only be divided by 1 and 3, without leaving a remaind
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Multiples A number that is completely divisible by another number is a multiple of that number Let’s find multiples of 3 using a number line. Start from 0 and count on in 3 equal st
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Factors Let’s arrange 8 balls in equal groups There is more than one way to do this. The number 8 can be divided by 1, 2, 4 and 8 without leaving a remainder. 1, 2, 4 and 8 are c
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Prime Factorization We can express a number as a product of its prime factors. Factor Tree Method Example 1: Find prime factors of 27 Start with the smallest prime number that is a fac
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Common multiples Example 1 : Can you find common multiples of 2 and 3? Let’s write first ten multiples of 2, 2 4 6 8 10 12 14 16 18 20 Let’s write first ten multip
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Finding LCM using prime factorization We can also find LCM using prime factorization method. Example 1: Let’s find LCM of 6 and 8 using prime factorization method. Step
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Common factors and Highest Common Factor (HCF) Example 1: Can you find common factors of 12 and 18? Let’s write factors of 12. 1 2 3 4 6 12 Let’s write factors
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Finding HCF using prime factorization We can also find HCF using prime factorization method. Example 1: Let’s find HCF of 6 and 24 using prime factorization method. Step 1 : Find prim
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