Sandwiched between the two years
Number Theory
Level
4
How many factors does ( )( ) have?
This question cannot be solved by calculators.
6.70342468E+19
6.50942469E+20
6.70342469E+19
7.00000499E+18
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1 solution
The prime factorisation of this number is ( 2 ⋅ 1 9 ⋅ 5 3 ) 2 0 1 5 ( 5 ⋅ 1 3 ⋅ 3 1 ) 2 0 1 4 , meaning it has 2 0 1 6 3 ⋅ 2 0 1 5 3 different factors. This is where we actually do need a calculator, to find out that 2 0 1 6 3 ⋅ 2 0 1 5 3 ≈ 6 . 7 0 3 4 2 4 6 9 ⋅ 1 0 1 9 .