Divisors?

Number Theory Level 2

How many divisors does the number N = 64800000 have?


The answer is 270.

Daud Shehzad by Daud Shehzad , 27, Pakistan

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2 solutions

Rahul Gautam
Apr 8, 2014

64800000 = 648 10^5 = 2^8 3^4 5^5 Number of divisors = (8+1) (4+1)*(5+1) = 270

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just use Euler's law of positive divisors

William Isoroku - 6 years, 9 months ago
Rishabh Jain
Jun 10, 2014

i think that the correct question should be H o w How m a n y many p o s i t i v e positive d i v i s o r s . . . . . . . divisors....... or tell me if i am wrong .

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