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• Factors of 36 – Definition With Examples

Factors of 36 – Definition With Examples

Jo-ann Caballes

Updated on January 3, 2024

Welcome to the wonderful world of math at Brighterly! We are passionate about making learning fun and interesting for kids. Mathematics is a fascinating field, filled with beautiful patterns and intriguing puzzles, just waiting to be discovered. Today, we’re going to explore one such puzzle – the factors of 36. Don’t worry if you’re not sure what factors are, by the end of this blog post, you’ll not only know what they are but also be able to figure out the factors of other numbers. So, fasten your seatbelts and get ready for an exciting journey through the land of numbers and operations.

What Are Factors of 36?

Factors are the building blocks of numbers. When you have a number like 36, the factors of 36 are the numbers that multiply together to give you 36. So, if you take two numbers and multiply them, and the answer is 36, then those two numbers are factors of 36. For example, 6 multiplied by 6 gives 36, hence 6 is a factor of 36. Other examples of factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36 itself.

Definition of Factors

The term “factors” comes from the Latin word ‘facere’, which means ‘to make’. Simply put, a factor of a number is a whole number that can be divided evenly into that number. For example, 1, 2, and 3 are factors of 6 because they divide evenly into 6 without leaving a remainder.

Definition of Factors of 36

As we have just defined factors, the factors of 36 are the whole numbers that can be divided evenly into 36. They include 1, 2, 3, 4, 6, 9, 12, 18, and 36. Each of these numbers can divide 36 without leaving a remainder.

Properties of Factors

Factors have interesting properties that help us understand and work with them. For instance, 1 and the number itself are always factors of any given number. Factors are always less than or equal to the number. Also, factors of a number can be paired up to give the product as the number.

Properties of Factors of 36

The factors of 36 have specific properties. They are always less than or equal to 36 and can be paired up to give 36. For example, 1 and 36, 2 and 18, 3 and 12, 4 and 9, 6 and 6 are pairs of factors of 36.

Difference Between Prime and Composite Factors

A prime factor is a factor that is a prime number, meaning it has only two distinct positive divisors: 1 and itself. A composite factor, on the other hand, has more than two distinct positive divisors. Among the factors of 36, 2 and 3 are prime factors, while 4, 6, 9, 12, 18, and 36 are composite factors.

Equations Related to Factors

Equations involving factors often take the form of a multiplication equation. The equation a*b=c indicates that a and b are factors of c.

Writing Equations Involving Factors of 36

For the factors of 36, the equations can be written as: 136=36, 218=36, 312=36, 49=36, and 6*6=36. Each equation involves two factors of 36.

Prime Factorization of 36

Prime factorization is the process of breaking down a number into its smallest possible prime factors. The prime factorization of 36 is 2^2 * 3^2. This means that 36 is made by multiplying two 2’s and two 3’s.

Practice Problems on Factors of 36

1. Write down all the factors of 36.
2. Find the prime factors of 36.
3. Write equations involving factors of 36.

Conclusion

And there you have it, explorers! We’ve just taken a deep dive into the magical ocean of factors, specifically focusing on the factors of 36. We’ve learned about what factors are, how to find them, and even learned some interesting properties that they possess. But remember, every journey in the world of math opens doors to new adventures. So keep exploring, keep questioning, and keep learning. Here at Brighterly, we believe that learning is a lifelong journey, and we’re delighted to be a part of yours. Stay tuned for more exciting math adventures, and always keep your curiosity alive. Because at Brighterly, we make learning brighter and lighter!

Frequently Asked Questions on Factors of 36

What are the factors of 36?

The factors of 36 are numbers that when multiplied in pairs give a product of 36. These numbers are 1, 2, 3, 4, 6, 9, 12, 18, and 36. So, for example, if you multiply 2 and 18, or 4 and 9, or even 6 and 6, the result is always 36, which makes these numbers factors of 36.

What is the prime factorization of 36?

Prime factorization is the process of breaking down a number into its smallest possible prime factors. A prime number is a number that has only two distinct positive divisors: 1 and itself. So, the prime factorization of 36 involves breaking it down to its basic building blocks which are prime numbers. In the case of 36, the prime factorization is 2^2 * 3^2, meaning that 36 is made by multiplying two 2’s and two 3’s.

Jo-ann Caballes

5 articles

As a seasoned educator with a Bachelor’s in Secondary Education and over three years of experience, I specialize in making mathematics accessible to students of all backgrounds through Brighterly. My expertise extends beyond teaching; I blog about innovative educational strategies and have a keen interest in child psychology and curriculum development. My approach is shaped by a belief in practical, real-life application of math, making learning both impactful and enjoyable.