What is the smallest 3-digit number with unique digits? (2024)

FAQs

What is the smallest 3-digit number with unique digits? ›

So, 100 is not considered. Next, check for the number 101, in which 1 is repeating twice hence it is not considered. Next, consider the number 102, as no digits are repeated and it has all the 3 unique digits. Thus, 102 is the smallest 3-digit number with all its unique digits.

Next, we will consider the number 102 which has no digit on repeat and has all the 3-digits unique. Thus, 102 is the smallest 3-digit number with unique digits. Note: We can make a list of the numbers which has 3 digits in it and check for the first number in the list which will give us the smallest 3-digit number.

Since we've already used 0 and 1 as digits and we need to use unique digits, we'll use the smallest digit other than 0 and 1 as the third digit to keep the number small. As a result, the smallest 3-digit unique number will be 102.

Solution: We have to find the largest three-digit number having distinct digits i.e., digits that are not repeated. We know that the largest 3 distinct digits are 9,8 and 7. Hence, the largest 3-digit number having distinct digits will be 987.

The number will be unique if it is positive integer and there are no repeated digits in the number. In other words, a number is said to be unique if and only if the digits are not duplicate. For example, 20, 56, 9863, 145, etc. are the unique numbers while 33, 121, 900, 1010, etc. are not unique numbers.

“1” is a unique number. It is neither Prime number, nor a composite number. Any number multiplied by 1, produces the same result. X*1=1.

Thus the total number of numbers is equal to 5×4×3=60 .

Three is the only number which is both prime (only two factors that go into it) and triangular (1+2). Trigonometry – the huge branch of mathematics dealing with sin, cos and tan, literally means “measuring triangles”.

100 is the smallest three-digit number. 100 becomes a single digit number if we flip it around. 101 is the next number. However, if you do the opposite, nothing changes.

What is the smallest and largest 3-digit number? ›

The smallest and greatest 3-digit number numbers are 100 and, 999, respectively. No three-digit number can begin with 0.

The answer is there are 729 three-digit integers that contain no zeros.

987 - there it is. So the largest 3-digit number with no repeating digits is 987.

Therefore the number 6174 is the only number unchanged by Kaprekar's operation — our mysterious number is unique. The number 495 is the unique kernel for the operation on three digit numbers, and all three digit numbers reach 495 using the operation. Why don't you check it yourself?

Kaprekar constant, or 6174, is a constant that arises when we take a 4-digit integer, form the largest and smallest numbers from its digits, and then subtract these two numbers. Continuing with this process of forming and subtracting, we will always arrive at the number 6174.

1089 is widely used in magic tricks because it can be "produced" from any two three-digit numbers. This allows it to be used as the basis for a Magician's Choice.

In a positional numeral system, the radix ( pl. : radices) or base is the number of unique digits, including the digit zero, used to represent numbers. For example, for the decimal system (the most common system in use today) the radix is ten, because it uses the ten digits from 0 through 9.