Prime Factor Decomposition

Front

What is Prime Factor Decomposition?

Back

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

Front

What is a prime number?

Back

A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.

Front

List the first five prime numbers.

Back

2, 3, 5, 7, 11.

Front

How do you find the prime factors of a number?

Back

To find the prime factors, divide the number by the smallest prime number until you reach 1.

Front

Write 135 as the product of its prime factors in exponent form.

Back

3^3 x 5.

Front

Write 80 as the product of its prime factors in exponent form.

Back

2^4 x 5.

Front

Write 210 as the product of its prime factors.

Back

2 x 3 x 5 x 7.

Front

Write 330 as the product of its prime factors.

Back

2 x 3 x 5 x 11.

Front

Write 450 as the product of its prime factors in exponent form.

Back

2 x 3^2 x 5^2.

Front

What is the significance of exponent form in prime factorization?

Back

Exponent form simplifies the representation of repeated prime factors.