Answer :

To find the prime factorization of 190, we will break it down into its prime factors step-by-step.

1. Start with the smallest prime number, which is 2:
- Check if 190 is divisible by 2.
- Since 190 is even, it is divisible by 2.
- [tex]\( 190 \div 2 = 95 \)[/tex]

2. Now consider the next prime number, which is 3:
- 95 is not divisible by 3 (since the sum of the digits, 9 + 5 = 14, is not divisible by 3).

3. Next, consider the prime number 5:
- Check if 95 is divisible by 5.
- Since 95 ends in 5, it is divisible by 5.
- [tex]\( 95 \div 5 = 19 \)[/tex]

4. Now consider the next prime number greater than 5, which is 7:
- 19 is not divisible by 7.

5. Finally, consider the prime number 19:
- Check if 19 is a prime number.
- 19 has no divisors other than 1 and itself, so 19 is indeed a prime number.

Combining all these steps:

- We divided 190 by 2 to get 95.
- We divided 95 by 5 to get 19.
- 19 is already a prime number.

Therefore, the prime factorization of 190 is:
[tex]\[ 190 = 2 \times 5 \times 19 \][/tex]

Thanks for taking the time to read Find the prime factorization of the composite number tex 190 tex tex 190 tex. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada