Prime Factorization

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

What is the prime factorization of 81?

Back

3^4

Front

How do you find the prime factorization of a number?

Back

To find the prime factorization, divide the number by the smallest prime number until the result is 1, recording the prime factors.

Front

What is the prime factorization of 60?

Back

2^2 • 3 • 5

Front

What is the prime factorization of 84?

Back

2^2 • 3 • 7

Front

What is the prime factorization of 88?

Back

2^3 • 11

Front

If a number has a prime factorization of 2 • 3^2 • 7, what is the number?

Back

126

Front

What is the significance of prime factorization in mathematics?

Back

Prime factorization is important for simplifying fractions, finding least common multiples, and solving problems involving divisibility.

Front

Can a number have more than one prime factorization?

Back

No, every integer greater than 1 has a unique prime factorization, according to the Fundamental Theorem of Arithmetic.