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The product of the digits of the three-digit number is 30. All the digits of the number are prime number. The hundredth digit is the even prime number. The tens digit is the first odd prime number. What is the number?

The product of the digits of the three-digit number is 30. All the digits of the number are prime number. The hundredth digit is the even prime number. The tens digit is the first odd prime number. What is the number? Correct Answer 235

Concept used:

Prime number:- A number that can be divided exactly only by itself and 1, for example, 2, 3, 5 etc

2 is only even prime number 

3 is the smallest odd prime number

Calculation:

Let the unit digit, tens digit and hundred digits be x, y and z respectively

Now, A/Q

Multiple of digits = 30

x = 2      ----(Only even prime number)

y = 3      ----(First odd prime number)

And, z × y × x = 30

⇒ z × 3 × 2 = 30

⇒ z = 30/6

⇒ z = 5

∴ The three-digit number is 235

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