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Determine the prime factorisation of the following positive integer: 45470971

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Question

Determine the prime factorisation of the following positive integer:

45470971

Numerical
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Solution

7 45470971
7 6495853
13 927979
13 71383
17 5491
17 323
19 19
  1

45470971 = 7 × 7 × 13 × 13 × 17 × 17 × 19

∴ 45470971 = 72 × 132 × 172 × 19

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Chapter 1: Real Numbers - EXERCISE 1.3 [Page 1.25]

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R.D. Sharma Mathematics [English] Class 10
Chapter 1 Real Numbers
EXERCISE 1.3 | Q 2. (iii) | Page 1.25
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