Question

Write the greatest 5 digit number.express it as a product of primes

Answer 1

hey mate ur ans

greatest 5 digit number is 99999

The prime factorization of 99,999 is: 3 x 3 x 41 

hope it helps

Answer 2

Given:

Greatest 5 digit number

To find:

The greatest 5 digit number as a product of primes =?

Solution:

To find the prime factors of the number we need to first write the greatest 5 digit number.

Step 1: Write a five-digit number that is greatest than all other five-digit numbers.

It is 99,999 that comes before 1,00,000 (One lakh).

Step 2: Now we need to find its factors which are also prime numbers.

Using the division method its factors can be found.

=> Starting with the least divisible prime number which is 3.

=> This division is carried out until we get 1 as the quotient.

=> $\frac{99,999}{3}$ = 33,333

=> $\frac{33,333}{3}$ = 11,111

=> $\frac{11,111}{41}$ = 271

=> $\frac{271}{271}$ = 1

=> The factors we get are 271, 41, 3, 3.

All these numbers are prime numbers as they just have two factors that is 1 and the number itself.

=> 99,999 (Greatest 5 digit number) = Product of prime numbers

=> 99,999 = 3 × 3 × 41 × 271

Hence, prime factors of the greatest 5 digit number are 3, 3, 41, 271.