Express each number as a product of its prime factors : (,i)156 (ii) 3825 (iii) 5005 (iv) 7429
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Answer:
(I) 156=2 x 78
2x 2 x 39
2x2x3x13
2x2x3x13x1
(ii) 3825=3x1275
3x3x425
3x3x5x85
3x3x5x5x17
3x3x5x5x17x1
(iii)5005=5x1001
5x7x143
5x7x11x13
5x7x11x13x1
(iv)7429=17x437
17x19x23
17x19x23x1
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Step-by-step explanation:
(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
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