What are the factors and prime factors of 245?

The factors of 245 are 1, 5, 7, 35, 49, and 245.

The prime factors of 245 are 5, 7, and 7.

Determining the prime factors:

The process of prime factorization is one of repeated division by primes, while obtaining a quotient without a remainder, until the process yields a quotient of 1

245 is not divisible by 2 or by 3

245 ÷ 5 = 49 ................................. 5 is a prime factor of 245

49 is not divisible by 5

49 ÷ 7 = 7 ..................................... 7 is a prime factor of 245

7 ÷ 7 = 1 ....................................... 7 is a prime factor of 245

So the prime factorization of 245 are 5 x 7 x 7 or, in index form (in other Words, using exponents), 5 x 72.