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If a number is in the form of 810 × 97 × 78, find the total number of prime factors of the given number.1. 522. 5603. 33604. 25 |
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Answer» Correct Answer - Option 1 : 52 Given: The number is 810 × 97 × 78 Concept used: If a number of the form xa × yb × zc ...... and so on, then total prime factors = a + b + c ..... and so on Where x, y, z, ... are prime numbers Calculation: The number 810 × 97 × 78 can be written as (23)10 × (32)7 × 78 The number can ve written as 230 × 314 × 78 Total number of prime factors = 30 + 14 + 8 ∴ The total number of prime factors are 52 |
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