a) Find the prime factorisation of 145.

b) Hence find the factors of 145.

12.

a) Find the prime factorisation of 536.

b) Hence find the factors of 145.

13. Find the number which corresponds to each prime factorisation below.

a) 2^2, 5

b) 5, 7^3, 19

c) 7, 11

d) 3^2, 13^3

Based on prime numbers, factors, and multiples. You might find something like these in your exams, but there is always that goodness of building up your mental skills. Have fun!

**1. Write as a product of primes 18.****2. Write as a product of primes 48.****3. Write as a product of primes 96.****4. Find the highest common factor of 24 and 30.****5. Find the highest common factor of 48 and 60.****6. Find the highest common factor of 72 and 40.****7. Find the lowest common multiple of 24 and 30.****8. Find the lowest common multiple of 36 and 60.****9. Find the lowest common multiple of 32 and 40.****10. Find the lowest common multiple of 27 and 36.**

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