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Properties of numbers EVEN and ODD numbers EVEN numbers all end with 2, 4, 6, 8, or 0. They are all MULTIPLES of 2 – in other words in the 2 times table. ODD numbers all end with 1, 3, 5, 7, or 9 and are Not MULTIPLES of 2.

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Properties of numbers 2) FACTORS Any whole number that divides exactly into another is said to be a FACTOR of that number. The FACTORS of 12 are 1, 2, 3, 4, 6, and 12 because 12 can be shared by them exactly.

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Properties of numbers 2) FACTORS It is easiest to build FACTORS in pairs. Use your skills in TESTING FOR DIVISIBILITY to decide if a number is a FACTOR. Start with 1 x our number = our number, then 2 x ? = our number 3 x ? = our number and so on

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Properties of numbers 2) FACTORS It is easiest to build FACTORS in pairs. Use your skills in TESTING FOR DIVISIBILITY to decide if a number is a FACTOR. Start with 1 x 36 = 36, then 2 x ? = 36 3 x ? = 36 and so on

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Properties of numbers 2) FACTORS It is easiest to build FACTORS in pairs. Use your skills in TESTING FOR DIVISIBILITY to decide if a number is a FACTOR. Start with 1 x 36 = 36, then 2 x 18 = 36 3 x 12 = 36 4 x 9 = 36

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Properties of numbers 2) FACTORS It is easiest to build FACTORS in pairs. Use your skills in TESTING FOR DIVISIBILITY to decide if a number is a FACTOR. Start with 1 x 36 = 36, then 2 x 18 = 36 3 x 12 = 36 4 x 9 = 36 5 x ? = 36

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Properties of numbers 2) FACTORS It is easiest to build FACTORS in pairs. Use your skills in TESTING FOR DIVISIBILITY to decide if a number is a FACTOR. Start with 1 x 36 = 36, then 2 x 18 = 36 3 x 12 = 36 4 x 9 = 36 5 x ? = 36 Can’t do it! 36 doesn’t end with 5 or 0

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Properties of numbers 2) FACTORS It is easiest to build FACTORS in pairs. Use your skills in TESTING FOR DIVISIBILITY to decide if a number is a FACTOR. Start with 1 x 36 = 36, then 2 x 18 = 36 3 x 12 = 36 4 x 9 = 36 6 x 6 = 36 keep going until a number repeats

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Properties of numbers 2) FACTORS These numbers are your FACTORS of 36 Start with 1 x 36 = 36, then 2 x 18 = 36 3 x 12 = 36 4 x 9 = 36 6 x 6 = 36

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Properties of numbers 2) FACTORS This is one FACTOR PAIR of 36 Start with 1 x 36 = 36, then 2 x 18 = 36 3 x 12 = 36 4 x 9 = 36 6 x 6 = 36

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Properties of numbers 3) SQUARE numbers Look at this pattern of suns:

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Properties of numbers 3) SQUARE numbers Look at this pattern of suns: ? 1 4 9 16

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Properties of numbers 3) SQUARE numbers Look at this pattern of suns: 1 x 1 2 x 2 3 x 3 4 x 4 5 x 5

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Properties of numbers 3) SQUARE numbers Look at this pattern of suns: 1 4 9 16 25 This pattern is called SQUARE numbers

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Properties of numbers 3) SQUARE numbers The square numbers are: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, …

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Properties of numbers 3) SQUARE numbers The square numbers are: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, … These are the ones you need to learn!

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Properties of numbers 3) SQUARE numbers The square numbers are: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, … Interesting point – SQUARE numbers have an ODD number of FACTORS – check if you don’t believe me!

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Properties of numbers 4) PRIME numbers These numbers have exactly 1 factor pair. 1 x 13 = 13 1 x 47 = 47 1 x 89 = 89 The pair is always 1 and the number itself.

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Properties of numbers 4) PRIME numbers 1 is not a PRIME number, as it only has one factor: 1 x 1 = 1 2 is the only EVEN PRIME.

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Properties of numbers 4) PRIME numbers PRIME numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, …

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