Smallest 5 Digit Number

Smallest 5 Digit Number

Five-digit numbers are positive integers represented on the number line starting from 10,000 to 99,999. These numbers consist of five digits.  The smallest five-digit number is 10,000, and therefore the greatest five-digit number is 99,999. There are 90,000 five digits numbers.

Let’s understand the properties and terms related to the five-digit number.

What do you mean by 5 digit Numbers?

These are the number starts from Ten thousand and extend up to ninety-thousands nine hundred and ninety-nine. These digits have five places –ones, tens, hundreds, thousands, and ten thousand. From ones place to the thousandth place-we can place any digits from 0-9 (non-negative integers). However, in the ten-thousandth place, we can place any positive integers from 1 to 9. As zero, in the beginning, will make it a 4-digit number. A number starting with zero, for example, 08765 is not a five-digit number. 8765 is a four-digit number. So, we cannot form a number with zero to form a five-digit number.

Understand with Example

In a five-digit number, the place values starting from right to left as- ones, tens, hundreds, thousands, and ten thousands. We notice that each successive place value is multiplied by 10 from the previous place going from right to left.

 Take a five-digit number 76,508

  Place value of the number 76,508

How 10,000 is the smallest five-digit number?

We have discussed in the beginning about five-digit numbers. For the ten-thousandth place, we can fill any digit number from 1 to 9. And each of the four places (thousand to ones) can take any digits ranging from 0 to 9. Therefore the total possible combination to form a five-digit number is =90,000 ways.

Hence we can form the smallest digit number starting with 1 in the ten thousand places and place zero thousand, hundred, tens, and one’s place. Hence the number is 10,000

Smallest Five Digit Number: Prime factorization

Prime factorization is representing the number as a product of its prime factors.

Prime factorization of 10,000 =2×2×2×2×5×5×5×5