Sunday, September 26, 2010

Prompt 4 from Ryan

Prime factorization of 1332:
1332
2 * 666
2 * 9 * 74
2 * 3 * 3 * 2 * 37
2^2 * 3^2 * 37

GCD and LCM of 240 and 840.
240
10 * 24
5 * 2 * 2 * 12
5 * 2 * 2 * 6 * 2
5 * 2 * 2 * 3 * 2 * 2
2^4 * 3 * 5

840
10 * 84
5 * 2 * 2 * 42
5 * 2 * 2 * 2 * 21
5 * 2 * 2 * 2 * 3 * 7
2^3 * 3 * 5 * 7

GCD = 2^3 * 3 * 5 = 120
LCM = 2^4 * 3 * 5 * 7 = 1680

Are 133 or 103 prime?
You have to divide both by prime numbers starting with 2 and keep going until the number you are dividing by is bigger than the quotient.
133/7 = 19
133 is not prime
103 is prime.

R when 4803925 is divided by 2, 3, 5, and 13.
By 2, it will be R1 because it is an odd number.
By 3, it will be R1 because the number add to give you 31, which is one over a multiple of 3.
By 5, it will be R0 because 5 goes into the number evenly.
By 13, I found the biggest number 13 could go in to less than 4803925, and I got 480316. Since 480316 is 9 less than 4803925 then the remander is 9.

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