Main Answer
The largest prime factor of 13195 is 29.The answer is: 29.
Explanation
To find the largest prime factor of a number, we first need to determine whether the number is prime or composite. If it's prime, then its largest prime factor is simply the number itself.
If it's composite, then we can find its largest prime factor by repeatedly dividing it by its smallest prime factor until we're left with a prime number.
In this case, 13195 is composite, since it's not equal to 1 or any integer greater than 1. By trial and error, we can find that its smallest prime factor is 29. Now, we can repeatedly divide 13195 by 29 until we're left with a prime number:13195 = 29 453
453 = 29 157
Since both factors are greater than 1, we continue dividing until we're left with a prime number:157 = 29 5.Now, we have found the largest prime factor of 13195, which is 29.