Alaina's post, 3 Oct. 2010

Question 1:
What is the prime factorization of 1332?
1332->3, 444->2, 222->2, 111->3, 37
2*3²*37

Question 2:
What is the gcd and lcm of 240 and 840?
GCD: 240->2, 120->2, 60->2, 30->2, 15->3, 5
prime factorization=2⁴*3*5
840->2, 420-> 2, 210->2, 105->5, 21->3, 7
prime factorization=2³*3*5*7
4*1*1=4
LCM:2⁴*3*5*7
16*3*5*7=1680

Question 3:
Is 133 prime? What about 103? How did you find out that it is/is not (without looking it up)?
Both 133 and 103 are prime. You cannot find the prime factorization of either. None of the small primes go into either 133 or 103.

Question 4:
What is the remainder whe 4803925 is divided by 2? When it is divided by 3? By 5? By 13? How did you figure each out?
4803925/2= remainder of 1
4803925/3= remainder of 1
4803925/5= remainder of 0
4803925/13= remainder of 9

I really didn't feel like using the prime factorization method so I just divided. Finding the remainder when dividing by 2 and 5 were very easy. 5 goes into anything that ends in a 5 or 0 evenly. 2 goes into anything that is even so because it is odd, the remainder is 1. 3 goes into all of the numbers except 4803925 so i only divided 3 into 25-> remainder of 1. 13 was the hardest of them. it just required some simple long division.