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Published bySilvester Griffith Modified over 6 years ago

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Multiples If a number divides exactly into another number, the second is a multiple of the first. Example 3, 6, 9, 12, 15, 18 10, 12, 14, 16, 18, 20 are the first six multiples of 3 are the set of multiples of 2 between 10 and 20 inclusive

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Example From the set {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} Write down the multiples of 2 4 6

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**Lowest Common Multiple (LCM)**

Example Find the lowest common multiple of 12 and 15. That is the smallest common multiple of the two numbers

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Example Find the lowest common multiple of 9 and 12.

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Factors A factor is a number that will divide exactly into a given number Example List all the factors of 6 12 30 19

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Prime numbers A prime number is a number that can be divided exactly by itself and one only. In other words it has only two factors Example List the first 8 prime numbers.

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Prime Factors When we want to express a number as a product of its prime factors we express the number as a multiplication of prime numbers Example Express 48 in terms of its prime factors

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Example Express each of the following as products of prime numbers 100 42 72 84 144

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**Highest common factor (HCF)**

The highest common factor of two or more numbers is the greatest number which will divide exactly into each of them. Example Find the HCF of 4, 6 and 8

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Example Find the HCF of 6, 9 and 12 12 and 18

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