Freddy and his friends write their names in code. Each friend's name is represented by a number. To identify the friend in a message, you must find the prime factorization of the number. Freddy gets a message from 45. Who is the message from.
Secret Code:
Freddy= 2x3x5
Judy= 2x2x3x7
Dan= 3x3x5
Camilla=2x3x5x5
=> First, you must note that the number given to you is 45. So, you must find its prime factorisation.
45 = 3 x 15
= 3 x 3 x 5
Since this is the same as the code for Dan, the message is from Dan.
If you find this interesting, read about Gödel encoding, where each letter is a prime factor raised to a power. The nth letter is the nth prime to the power of the letter's place in the alphabet. For example,
cat is represented by 2^3 * 3^1 * 5^20
You can see that the values get huge very fast, and decoding is quite difficult.
For practice: try decoding
14007996280973190758400000
I read the instructions wrong, the coded word should read:
3597206253997569964636384069705890201600000
Thanks for the referral! :-)
To identify the friend who sent the message, we need to find the prime factorization of 45.
Prime factorization is the process of finding the prime numbers that multiply together to get the original number.
To find the prime factorization of 45, you can start by dividing it by the smallest prime number, which is 2.
45 ÷ 2 = 22 remainder 1
Since 45 is odd, we cannot divide it by 2 again. Moving on to the next prime number, which is 3:
22 ÷ 3 = 7 remainder 1
Now we try dividing by 3 again:
7 ÷ 3 = 2 remainder 1
Finally, we try dividing by the last prime number, which is 5:
2 ÷ 5 = 0 remainder 2
Since we have reached 0, we can stop. The prime factorization of 45 is 3 x 3 x 5.
Now, let's match the prime factorization of 45 with the friends' coded names:
Freddy = 2 x 3 x 5
Judy = 2 x 2 x 3 x 7
Dan = 3 x 3 x 5
Camilla = 2 x 3 x 5 x 5
From the given prime factorizations above, we can see that the friend whose coded name matches the prime factorization of 45 is Freddy. Therefore, the message is from Freddy.