Question

Express each of the following positive integers as the product of its prime factors:

(i) 382 (ii) 1001 (iii) 7429​

Answer 1

(i) 382 = 1 × 191

(ii) 1001 = 7 × 11 × 13

(iii) 7429 = 17 × 19 × 23

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Answer 2

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(i) 140

140=2×70

=2×2×35

=2×2×5×7

=2×2×5×7×1

(ii) 156

156=2×78

=2×2×39

=2×2×3×13

=2×2×3×13×1

(iii) 3825

3825=3×1275

=3×3×425

=3×3×5×85

=3×3×5×5×17

=3×3×5×5×17×1

(iv) 5005

5005=5×1001

=5×7×143

=5×7×11×13

=5×7×11×13×1

(v) 7429

7429=17×437

=17×19×23

=17×19×23×1