Class-X Mathematics
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Find the HCF and LCM of the following given pairs of numbers by prime factorisation.
(i) 120,90
(ii) 50, 60
(iii) 37,49
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- Show that 31 x 4m cannot end with the digit 0 or 5 for any natural numb
n'and 'm'
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EXERCISE - 1.2
Express each of the following number as a product of its prime factors.
(v) 7429
(i) 140
(ii) 156
(iv) 5005
(iii) 3825
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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(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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