Mathematics
Express each number as a product of its prime factors :
(i) 140
(ii) 156
(iii) 3825
(iv) 5005
(v) 7429
Real Numbers
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Answer
(i) On prime factorizing, we get :
140
= 2 x 70
= 2 x 2 x 35
= 2 x 2 x 5 x 7
= 22 × 5 × 7
Hence, 140 = 22 × 5 × 7.
(ii) On prime factorizing, we get :
156
= 2 x 78
= 2 x 2 x 39
= 2 x 2 x 3 x 13
= 22 × 3 × 13
Hence, 156 = 22 × 3 × 13.
(iii) On prime factorizing, we get :
3825
= 3 x 1275
= 3 x 3 x 425
= 3 x 3 x 5 x 85
= 3 x 3 x 5 x 5 x 17
= 32 × 52 × 17
Hence, 3825 = 32 × 52 × 17.
(iv) On prime factorizing, we get :
5005
= 5 x 1001
= 5 x 7 x 143
= 5 x 7 x 11 x 13
Hence, 5005 = 5 × 7 × 11 × 13.
(v) On prime factorizing, we get :
7429
= 17 x 437
= 17 × 19 × 23
Hence, 7429 = 17 × 19 × 23.
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