# Express each number as a product of its prime factors :

Question : Express each number as a product of its prime factors :

(i) 140

(ii) 156

(iii) 3825

(iv) 5005

(v) 7429

Solution :

(i)  We use the division method as shown below :

$$\therefore$$   140 = $$2 \times 2 \times 5 \times 7$$

= $$2^2 \times 5 \times 7$$

(ii)  We use the division method as shown below :

$$\therefore$$   156 = $$2 \times 2 \times 3 \times 13$$

= $$2^2 \times 3 \times 13$$

(iii)  We use the division method as shown below :

$$\therefore$$   3825 = $$3 \times 3 \times 5 \times 5 \times 17$$

= $$3^2 \times 5^2 \times 17$$

(iv)  We use the division method as shown below :

$$\therefore$$   5005 = $$5 \times 7 \times 11 \times 13$$

= $$5 \times 7 \times 11\times 13$$

(v)  We use the division method as shown below :

$$\therefore$$   7429 = $$17 \times 19 \times 23$$

= $$17 \times 19 \times 23$$