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# Prime Factorization of 529

## What is Prime Factorization?

Prime factorization is a process of breaking a number into its prime factors. It is important to understand prime factorization in mathematics, as it is the foundation of many other concepts related to numbers. Prime factorization can be used to simplify fractions, solve equations, and find the greatest common factor of two numbers.

## What is 529?

529 is a composite number, meaning it has factors other than 1 and itself. It can be expressed as the product of two prime numbers: 23 × 23. This is the prime factorization of 529.

## How to Find the Prime Factorization of 529

In order to find the prime factorization of 529, you must first find the prime factors of 529. This can be done by finding the factors of 529 and then determining which of those factors are prime numbers. The prime factors of 529 are 23 and 23. Thus, the prime factorization of 529 is 23 × 23.

## Uses of Prime Factorization

Prime factorization can be used to simplify fractions, solve equations, and find the greatest common factor of two numbers. It can also be used to determine the prime factors of a number and to create prime factor trees. Additionally, prime factorization can be used to answer questions about divisibility, such as whether or not a number is divisible by another number.

## Conclusion

In conclusion, prime factorization is an important concept in mathematics. Prime factorization of 529 is 23 × 23. Prime factorization can be used to simplify fractions, solve equations, and find the greatest common factor of two numbers. Additionally, it can be used to determine the prime factors of a number and to create prime factor trees.