निम्नलिखित संख्याओं को अभाज्य गुणनखंडों के गुणनफल के रूप में व्यक्त कीजिए:
(i)140 (ii) 156 (ii) 3825 (iv) 5005 (v) 7429
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निम्नलिखित संख्याओं को अभाज्य गुणनखंडों के गुणनफल के रूप में व्यक्त कीजिए:
(i)140 (ii) 156 (ii) 3825 (iv) 5005 (v) 7429
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Verified answer
[tex]\huge\underline\frak{\fbox{Question :-}}[/tex]
निम्नलिखित संख्याओं को अभाज्य गुणनखंडों के गुणनफल के रूप में व्यक्त कीजिए:
(i)140
(ii) 156
(ii) 3825
(iv) 5005
(v) 7429
[tex]\huge\underline\frak{\fbox{AnSwEr :-}}[/tex]
Step-by-step explanation: [tex]<font \: color=purple >[/tex]
(i)140=2 x 2 x 7 x 5 = 2² x 7 x 5
(ii) 156=2 x 2 x 3 x 13 = 2²x 3 x 13
(iii) 3825 =5 x 5 x 3 x 3 x 17 = 3² x 5² x 17
(iv) 5005 = 35 x 7 x 11 x 13
(v) 7429 = 17 x 19 x 23
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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