Prime Factorization & LCM Flashcard

Front

What is prime factorization?

Back

Prime factorization is the process of expressing a number as the product of its prime factors.

Front

What are prime numbers?

Back

Prime numbers are natural numbers greater than 1 that have no positive divisors other than 1 and themselves.

Front

Express 72 as a product of its prime factors.

Back

2^3 * 3^2

Front

Factorize 56 into its prime factors.

Back

2 x 2 x 2 x 7

Front

Determine the prime factorization of 36.

Back

2^2 * 3^2

Front

What is the least common multiple (LCM)?

Back

The least common multiple (LCM) of two or more numbers is the smallest number that is a multiple of each of the numbers.

Front

Calculate the LCM of 15 and 25 using prime factorization.

Back

75

Front

Express 90 as a product of its prime factors.

Back

2^1 * 3^2 * 5^1

Front

How do you find the LCM using prime factorization?

Back

1. Find the prime factorization of each number. 2. For each distinct prime factor, take the highest power that appears in any of the factorizations. 3. Multiply these together to get the LCM.

Front

What is the prime factorization of 100?

Back

2^2 * 5^2