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Mathematics

Express each number as a product of its prime factors :

(i) 140

(ii) 156

(iii) 3825

(iv) 5005

(v) 7429

Real Numbers

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Answer

(i) On prime factorizing, we get :

140
= 2 x 70
= 2 x 2 x 35
= 2 x 2 x 5 x 7
= 22 × 5 × 7

Hence, 140 = 22 × 5 × 7.

(ii) On prime factorizing, we get :

156
= 2 x 78
= 2 x 2 x 39
= 2 x 2 x 3 x 13
= 22 × 3 × 13

Hence, 156 = 22 × 3 × 13.

(iii) On prime factorizing, we get :

3825
= 3 x 1275
= 3 x 3 x 425
= 3 x 3 x 5 x 85
= 3 x 3 x 5 x 5 x 17
= 32 × 52 × 17

Hence, 3825 = 32 × 52 × 17.

(iv) On prime factorizing, we get :

5005
= 5 x 1001
= 5 x 7 x 143
= 5 x 7 x 11 x 13

Hence, 5005 = 5 × 7 × 11 × 13.

(v) On prime factorizing, we get :

7429
= 17 x 437
= 17 × 19 × 23

Hence, 7429 = 17 × 19 × 23.

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