https://kailashafoundation.org/questions/no-of-ways-to-find-factors-of-2016-which-are-prime-to-each-other/ Fun & Learn Portal Sun, 05 Mar 2017 19:02:36 +0000 hourly 1 https://wordpress.org/?v=5.2 https://kailashafoundation.org/questions/no-of-ways-to-find-factors-of-2016-which-are-prime-to-each-other/#comment-333 Sun, 05 Mar 2017 19:02:36 +0000 http://kailashafoundation.org/questions/no-of-ways-to-find-factors-of-2016-which-are-prime-to-each-other/#comment-333 2016 = 2*2*2*2*2*3*3*7   Here there are three different prime factors, i.e,  2, 3 &7  . As the number of ways in which any number can be resolved in two factors as  1/2 (1+1) (1+1)….. upto n terms , where n= number of different prime factors. Here only three prime factors so (1+1) three times. Thus the number of ways is 2 power n-1. 2016 can be resolved by  1/2 (1+1) (1+1) (1+1) = 3  Therefore the number of ways is 2 power (3-1) = 4 ways

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