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Question

Express each number as a product of its prime factors:
(i) 140 (ii) 156 (iii) 3825 (iv) 5005 (v) 7429

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Solution

(i) 140
140
=2×70
=2×2×35
=2×2×5×7


(ii) 156
156
=2×78
=2×2×39
=2×2×3×13


(iii) 3825
3825
=3×1275
=3×3×425
=3×3×5×85
=3×3×5×5×17


(iv) 5005
5005=5×1001
=5×7×143
=5×7×11×13


(v) 7429
7429=17×437
=17×19×23


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