How do I find the Prime Factorization for the number 2002?

Answer 1

divide by larger and larger primes till you get a quotient of 1.

2002/2 = 1001
2 does not divide 1001

3,5 do not divide 1001

1001/7 = 143
7 does not divide 143

143/11 = 13
11 does not divide 13

13/13 = 1

So, 2002 = 2x7x11x13

Answer 2

http://www.mathwarehouse.com/arithmetic/numbers/prime-number/prime-factorization.php?number=2002#primeFactorization