Question

find out 3-digit numbers,the sum of whose digits is equal to the product of the digits.

Answer 1

Concept:

Multiplication is the mathematical operation that is the method of finding the product of the given numbers.

Given:

The sum of 3-digit numbers digit is equal to the product of the digits.

Find:

We are asked to find the 3-digit number.

Solution:

We have,

The sum of 3-digit numbers digit is equal to the product of the digits.

Now,

Let,

A three-digit number = xyz

So,

Sum of digits = x + y + z,

NOw,

Product of digits = xyz

And,

According to the question,

We get,

x + y + z = xyz

So,

It's clear that zero (0), can not be any digit,

So,

Let,

x = 1,

y = 2,

z = 3

NOw,

According to the question,

1 + 2 + 3 = 1 × 2 × 3

6 = 6

So,

The three-digit number is 123.

Hence, the three-digit number is 123.

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Answer 2

Answer:

123, 321, 213 are the three-digit numbers whose sum of the digit is equal to the product of the digit.

Explanation:

Let xyz be the 3- digit number.

So, the sum of the digit = x + y + z

And the product of the 3- digit number = xyz

Now, according to the question, the sum of whose digit is equal to the product of the digits.

⇒ x + y + z = xyz

Let x = 1, y = 2 and z = 3.

⇒ x + y + x = 1 + 2+ 3 = 6

Now, product of the digits = x yz = 1 × 2 × 3 = 6

So, here we can see that the sum of the digits is equal to the product of the digits = 6

Final answer:

Hence, 123, 321 or 213 are the three-digit numbers whose sum of the digit is equal to the product of the digit.

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