Sunday, September 26, 2010

Promp #4

Question 1:
What is the prime factorization of 1332?

(2,666)->(2,333)->(3,111)->(3,37)
22*32*37

Question 2:
What is the gcd and lcm of 240 and 840?
240=24*3*5; 840=23*3*5*7
gcd=23*3*5
gcd=120

lcm=24*3*5
lcm=840

Question 3:
Is 133 prime? What about 103? How did you find out that it is/is not?
Yes, 133 is prime, so is 103. When each is divided by one of the small primes, there is a remainder of 1, 3, or 13.

Question 4:
What is the remainder when 4803925 is divided by 2? What about 3? 5? and 13? How did you figure each out?
4803925/2 = 2401962 with a remainder of 1.
4803925/3 = 1601908 with a remainder of 1.
4803925/5 = 960785 with no remainder.
4803925/13 = 36958 with a remainder of 1.

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