SOLUTION: Identify the number that satisfies all three of the following conditions:  it is a composite between 62 and 72;  the sum of the digits is a prime number; and &#6

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Question 722996: Identify the number that satisfies all three of the following conditions:
 it is a composite between 62 and 72;
 the sum of the digits is a prime number; and
 it has more than four factors.

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
I just did this one. Same as question 722997.
The answer is 65. The only factors are 1, 5, 13, and 65. 6+5=11, a prime number.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
Identify the number that satisfies all three of the following conditions:
 it is a composite between 62 and 72;
 the sum of the digits is a prime number; and
 it has more than four factors.

Number is highlight_green%2870%29

Factors: 2, 5, 7, 10, 14, 35, 70 (more than 4, so COMPOSITE, since it has more than 1 pair of factors)

Sum of digits: 7 + 0, or 7 (prime)