**Workbook Page 3**

**Question 15:**

(a) Find the

*of the following numbers and write your answers in***prime factorisation****.***index notation*(i) 27

(ii) 99

(iii) 135

(b) Hence, find

(i) the

**HCF**of 27, 99 and 135 in prime factorisation form(ii) the

**LCM**of 27, 99 and 135 in prime factorisation form**Question 14:**

(a) Find the

**of 3375 and write your answer in***prime factorisation***.***index notation*(b)

*Hence, deduce and write down*(i) the smallest 2-digit number that is a factor of 3375

(ii) the largest 2 digit number that is a factor of 3375

(iii) the smallest 3-digit number that is a factor of 3375

(iv) the smallest 4-digit number that is a factor of 3375

**Question 17:**

(a) Find the smallest possible value of

(i) a whole number

*y*if it leaves a remainder of 3 when divided by 5, 6 or 9(ii) a whole number

*z*if it leaves a remainder of 2 when divided by 4, 5 or 6(b) Hence, calculate the

(i) HCF of

*y*and*z*(ii) LCM of

*y*and*z*
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