What is the prime factorization of 10?

Understand the Problem

The question is asking for the prime factors of the number 10. Prime factorization involves expressing a number as a product of its prime factors. For 10, we need to find the prime numbers that multiply together to give the original number.

Answer

2 \times 5
Answer for screen readers

The final answer is 2 × 5

Steps to Solve

  1. Find the smallest prime number that divides 10

The smallest prime number is 2. We check if 10 is divisible by 2.

10 ÷ 2 = 5

  1. Check if 5 is a prime number

Since 5 is a prime number (it is only divisible by 1 and itself), we include 5 in the prime factorization.

  1. Write down the prime factors

Combining the results from the steps above, the prime factors of 10 are 2 and 5.

Therefore, the prime factorization of 10 is 2 × 5.

The final answer is 2 × 5

More Information

Prime factorization shows the unique set of prime numbers that multiply together to form the original number. Every integer greater than 1 has a unique prime factorization.

Tips

A common mistake is to miss checking each factor for primality, which could lead to incorrect factors.

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