Tamins

High school (ages 12+)
Mathematics & Numbers

Name:

Date:

Step 1 · Read the article

Open the article and read it at the level above. Then answer the questions below in your own words.

https://smallwhale.org/articles/tamins

Write what each word means, using the article.

Do not copy the article. Write two things you learned, the way you would explain them to a friend.

Answers below are taken from the article’s stored facts, so they match what the student read.

1. What is the cryptographic basis?The computational difficulty of factoring large semiprimes underpins RSA encryption
2. Why is each number’s Tamins unique?Because of the Fundamental Theorem of Arithmetic, every integer greater than 1 can be written as a product of primes in only one way, no matter the order.
3. How can I find the Tamins of a number like 72?You can break 72 into prime factors: 72 = 2 × 2 × 2 × 3 × 3, or written as 2³ × 3².

Prime Factorization: The process of expressing a composite number as a product of its unique prime factors.
Fundamental Theorem of Arithmetic: States that every integer greater than 1 is either a prime number or can be represented as a unique product of prime numbers.
Public-Key Cryptography: A system of cryptography that uses pairs of keys: one public key for encryption and one private key for decryption.