What is the Greatest 4-digit number?
Greatest four-digit number can be expressed as the number with a digit at ones place, tenth place, hundredth place, and thousand place. All the digits have been the largest digits, in essence, 9. The largest four-digit number in the number system is ⇢ 9999
Explanation: If 1 is added to this number, it becomes 10000 which is a five-digit number. So 9999 is the greatest four-digit number in the number system.
Largest four digit number in the number system = 9999
= 9999 + 1
= 10000 (which is five digit number )
Hence it is proved that 9999 is the greatest four-digit number.
By this method, it is easy to find any greatest number in the number system.
Greatest 4-digit number as prime factors
Let’s express the largest 4-digit number in terms of its prime factors.
We are using the concept of prime numbers and prime factorisation to solve this.
Greatest 4-digit number is 9999.
9999 = 3 × 3 × 11 × 101
Thus, prime factors of the greatest 4-digit number 9999 are 3, 3, 11, 101.
Note: Prime factors are the factors of the given number which are prime.
Largest 4 digit number using different digits
If we use different digits to get the largest 4 digit number, we will come up with different numbers.
- Greatest four-digit number, using only one digit is 9,999.
- Greatest four-digit number, using two different digits is 9,998.
- Greatest four-digit number, using all different digits is 9,876.
What is the Greatest 4 Digit Number
9999 is the greatest 4 Digit Number. To find the greatest 4-digit number, we need to maximize the value of each digit .9 is the highest value a single digit can have. So, the largest 4-digit number is formed by placing the digit ‘9’ in each of the four places: thousands, hundreds, tens, and ones.
In this article, we are going to find the largest 4-digit number, how to express it in terms of its prime factors and its properties, and different types of number systems.