SOLUTION: Lena’s phone number has six digits. They are all different. She remembers it as three 2-digit numbers. The first 2-digit number is a factor of 118 The second 2-digit number is

Algebra ->  Divisibility and Prime Numbers -> SOLUTION: Lena’s phone number has six digits. They are all different. She remembers it as three 2-digit numbers. The first 2-digit number is a factor of 118 The second 2-digit number is       Log On


   

Question 1119100: Lena’s phone number has six digits.
They are all different.
She remembers it as three 2-digit numbers.
The first 2-digit number is a factor of 118
The second 2-digit number is a prime number less than twenty.
The third 2-digit number is a square number which is not a cube number.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
The only two digit number that is a factor of 118 is 59.
A prime number of two digits is 13,17, or 19. Since 9 is used above, 13 or 17 remain.
The third is a square number which is not a cube. Start with 16, but 1 excludes. Then 25, but 5 is used, then 36 which looks adequate if 13 is not used. Try 49 but 9 is used. We know that 64 is a perfect cube and 81 has 1 used.
The phone number is 591736