Thursday, July 11, 2013

number of factors trick 1

consider the number 210
it can be written as 210 = 2 x 5 x 3 x 7
All the factors are prime, and all the prime factors occur only once.
in such a case, the total number of factors is 2 x 2 x 2 x 2. (as many 2s' as there are prime factors).
So, the answer is 16.

consider 105.
it can be written as 105 = 3 x 5 x 7
All the factors are prime, and all the prime factors occur only once.
in such a case, the total number of factors is 2 x 2 x 2  (as many 2s' as there are prime factors).
So, the answer is 8.

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