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 = \(17 \times 19 \times 23\)
= \(17 \times 19 \times 23\)
