Find the number of even factors in 84000.
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First, you have to factorize 84000, then you will get 2 5 . 3 . 5 3 . 7 From those numbers, you can calculate the number of 84000's factor like this: ( 5 + 1 ) × ( 1 + 1 ) × ( 3 + 1 ) × ( 1 + 1 ) = 9 6 They added by 1 because n 0 = 1 and 1 is also the factor.
Even number is all numbers that are multiples of 2. So you have to include 2 at least 1.
( 5 ) × ( 1 + 1 ) × ( 3 + 1 ) × ( 1 + 1 ) = 8 0 .