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Numbers - Multiples, Factors and Primes

  1. Look at these numbers :

    1 3 6 9 12

    From the numbers above, write down:
    1. a multiple of 4 Out of the numbers 1 3 6 9 12, which is a multiple of 4 12✓
    2. the prime number Which is the prime number 3✓
    3. two square numbers Two square numbers 1 9✓
    4. three factors of 27 1 3 9✓
    5. two numbers, P and Q, that satisfy both P = 2Q and P = √144 _________
    If you know your tables and number bonds, this is quite basic! Make sure you know exactly what a Prime number is. ( For example: How many prime numbers are there on the the six faces of a dice? )
  2. 48 students went on a geography field trip. Their teachers split them into equal groups. Suggest five different ways that the teachers might have split up the students. A school ran 3 evening classes:
    1. Conversational French
    2. Cake Making
    3. Woodturning.
    The Conversational French class had 29 students, Cake Making had 27 students, and the Woodturning class had 23. For which classes did the teacher have difficulty dividing the students into equal groups?
    _________
    1. Write down the first five cube numbers. _________
    2. Which of the numbers given in part a) are multiples of 2? _________
    3. Which of the numbers given in part a) are multiples of 3? _________
    4. Which of the numbers given in part a) are multiples of 4? _________
    5. Which of the numbers given in part a) are multiples of 5? _________
  3. Express the following as products of powers of prime factors:
    1. 18 _________
    2. 140 _________
    3. 47 _________
    The tricky bit is remembering that a prime factorisation includes all the prime factors that multiply to make that number so you've got to repeat some of them.
    1. List the first five prime numbers. _________
    2. If added together, what is their total? _________
    3. Write down the prime factorisation of the answer to part b). _________
    1. List the first five odd numbers. _________
    2. If added together, what is their total? _________
    3. Write down the prime factorisation of the answer to part b). _________
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