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

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

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