Factorise 7429 into its prime factors using Factor tree approach.

17 x 19 x 23

1. We first check if 7429 is divisible by 2. Since it is an odd number, it is not divisible by 2. Next, we try the smallest odd prime numbers.

2. Dividing 7429 by 17 gives a quotient of 437, which means 7429 is divisible by 17. Therefore, one of the prime factors is 17.

3. Now, we factorize 437. Dividing 437 by 19 results in a quotient of 23, indicating that 437 is divisible by 19. Thus, another prime factor is 19.

4. Finally, 23 is already a prime number. Therefore, the last prime factor is 23.

So, the prime factorization of 7429 can be expressed as:

7429 = 17 × 19 × 23