Blow your head up 4!
Number Theory
Level
pending
Find the total number of factors of the integer .
Have fun! :D
The answer is 16.
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1 solution
Note that 2 3 8 4 2 9 0 8 6 3 9 2 7 6 0 9 1 7 3 9 4 7 = 4 1 × 4 3 × 1 2 9 1 × 1 0 4 7 5 6 4 2 7 6 9 3 6 0 5 9 Hence, the number of factors of is equivalent to: 2 × 2 × 2 × 2 = 1 6
Checking, we find that the factors of the number are: 1 , 4 1 , 4 3 , 1 2 9 1 , 1 0 4 7 5 6 4 2 7 6 9 3 6 0 5 9 , 4 1 × 4 3 , 4 1 × 1 2 9 1 , 4 1 × 1 0 4 7 5 6 4 2 7 6 9 3 6 0 5 9 , 4 3 × 1 2 9 1 , 4 3 × 1 0 4 7 5 6 4 2 7 6 9 3 6 0 5 9 , 1 2 9 1 × 1 0 4 7 5 6 4 2 7 6 9 3 6 0 5 9 , 4 1 × 4 3 × 1 2 9 1 , 4 1 × 4 3 × 1 0 4 7 5 6 4 2 7 6 9 3 6 0 5 9 , 4 1 × 1 2 9 1 × 1 0 4 7 5 6 4 2 7 6 9 3 6 0 5 9 , 4 3 × 1 2 9 1 × 1 0 4 7 5 6 4 2 7 6 9 3 6 0 5 9 , 2 3 8 4 2 9 0 8 6 3 9 2 7 6 0 9 1 7 3 9 4 7
We are done! :D There are 1 6 factors.