The prime factorization of 35 is found by determining the prime numbers that multiply to give 35. 

1. Start by dividing 35 by the smallest prime number, which is 2. Since 35 is odd, it's not divisible by 2.
2. Next, try 3. The sum of the digits of 35 (3 + 5 = 8) is not divisible by 3, so 35 is not divisible by 3.
3. Now, try 5. Since 35 ends in 5, it is divisible by 5. Dividing gives \( 35 \div 5 = 7 \).
4. The number 7 is also a prime number.

Thus, the prime factorization of 35 is:

\[ 5 \times 7 \]

Would you like more details or have any questions? Here are some related questions:

1. What are the prime numbers less than 50?
2. How do you find the prime factorization of larger numbers?
3. What is the difference between prime and composite numbers?
4. Can you provide examples of prime factorization for numbers greater than 100?
5. How does the prime factorization relate to finding the greatest common divisor (GCD)? 

**Tip:** Always start with the smallest prime number when factorizing, and use division to check for factors systematically.

Discover the prime factorization of 35 with a detailed, step-by-step explanation. Learn how to divide by prime numbers and apply divisibility rules. Ideal for students in Grades 4-6 looking to strengthen their number theory skills.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation