What is the prime factorization of each of the following numbers?

Question

A. 84 B. 98 C. 310? 

Answer 1

A) The number is 84.

84 = 2 * 42

     = 2 * 2 * 21

     = 2 * 2 * 3 * 7

Therefore the prime factorization of  84 is  2² * 3 * 7.

B) The number is 98.

98 = 2 * 49

     = 2 * 7 * 7

Therefore the prime factorization of  98 is are  2 * 7².

C) The number is 310.

310 = 2 * 155

       = 2 * 5 * 31

Therefore the prime factorization of  310 are  2 * 5 * 31.