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Published byBaldric Mills Modified over 7 years ago

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Splitting the number Numbers, like everything else, can be split up into smaller parts. For atoms, these smaller parts are called quarks. For numbers, they are called: _ _ _ _ _ _ _ F A C T O R S

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The Horseshoe Method 30 x x x 5 x 6

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**Divisibility How can we tell if a number divides by 2?**

Can you come up with any rules for the other numbers?

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**Divisibility Rules 2: The last digit is even (0, 2, 4, 6, 8)**

3: Digits add up to a multiple of 3 4: The last 2 digits make a multiple of 4 5: The last digit is 0 or 5 6: The number divides by 2 and 3 7: (Nothing easy – sorry! Just try dividing) 8: The last 3 digits make a multiple of 8 9: Digits add up to a multiple of 9 10: The last digit is 0

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**Some numbers cannot be broken down at all**

These are called: _ _ _ _ _ numbers Eg: 17 = 1 x (No other factors) Find the first 7 prime numbers. (prime numbers have exactly 2 factors, so 1 is not a prime, but 2 is a prime) P R I M E

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12 18 Every number can be broken down until it is just prime numbers multiplied together. 3 4 6 3 2 2 2 3 2 x 2 x 3 2 x 3 x 3

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**Does it divide by 10? By 5? By 2? By 3?**

If none, check 7, 11, ... Otherwise, prime. 420 = 22×3×5×7 10 42 2 21 5 2 7 3

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**Use the factor tree method to break down these numbers into their smallest parts (‘prime factors’)**

28 100 48 32 68 19 45 5050 891

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581202 444444 510 54321 67

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12 18 3 4 6 3 2 2 2 3 2 x 2 x 3 2 x 3 x 3

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12 12 3 HCF: 2 x 3 = 6 2 2 2 3 3 18 18 = x x x x = 2 x 2 x 3 2 x 3 x 3 LCM: 2 x 2 x 3 x 3 = 36

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50 70 5 10 10 7 2 5 2 5 2 x 5 x 5 2 x 5 x 7

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50 50 70 70 HCF: 2 x 5 = 10 5 2 2 5 5 7 = x x x x = 2 x 5 x 7 2 x 5 x 5 LCM: 2 x 5 x 5 x 7= 350

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