Question

6. Let abc be a three digit number with nonzero digits such that a² + b2 = c2. What is the
largest possible prime factor of abc?​

Answer 1

Answer:

the largest possible prime factor of abc  is 29

Step-by-step explanation:

Let abc be a three digit number with nonzero digits such that a² + b2 = c2. What is the

largest possible prime factor of abc

as a² + b² = c²

and a b c are single digits

only possible solution

3² + 4² = 5²

or 4² + 3² = 5²

abc  = 345    or 435

345 = 3 * 5 * 23

435 = 3 * 5 * 29

the largest possible prime factor of abc  is 29