Question
Download Solution PDFIf a number is in the form of 810 × 97 × 78, find the total number of prime factors of the given number.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
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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